1. **Equation:** \(2x + 3 = 11\)
**Steps to Solve:**
a. Subtract 3 from both sides to isolate the term with \(x\): \(2x + 3 - 3 = 11 - 3\)
b. Simplify: \(2x = 8\)
c. Divide both sides by 2 to solve for \(x\): \(\frac{2x}{2} = \frac{8}{2}\)
d. Simplify: \(x = 4\)
2. **Equation:** \(5y - 7 = 18\)
**Steps to Solve:**
a. Add 7 to both sides to isolate the term with \(y\): \(5y - 7 + 7 = 18 + 7\)
b. Simplify: \(5y = 25\)
c. Divide both sides by 5 to solve for \(y\): \(\frac{5y}{5} = \frac{25}{5}\)
d. Simplify: \(y = 5\)
3. **Equation:** \(3a + 4 = 16\)
**Steps to Solve:**
a. Subtract 4 from both sides to isolate the term with \(a\): \(3a + 4 - 4 = 16 - 4\)
b. Simplify: \(3a = 12\)
c. Divide both sides by 3 to solve for \(a\): \(\frac{3a}{3} = \frac{12}{3}\)
d. Simplify: \(a = 4\)
4. **Equation:** \(6b + 2 = 20\)
**Steps to Solve:**
a. Subtract 2 from both sides to isolate the term with \(b\): \(6b + 2 - 2 = 20 - 2\)
b. Simplify: \(6b = 18\)
c. Divide both sides by 6 to solve for \(b\): \(\frac{6b}{6} = \frac{18}{6}\)
d. Simplify: \(b = 3\)
5. **Equation:** \(4c - 5 = 7\)
**Steps to Solve:**
a. Add 5 to both sides to isolate the term with \(c\): \(4c - 5 + 5 = 7 + 5\)
b. Simplify: \(4c = 12\)
c. Divide both sides by 4 to solve for \(c\): \(\frac{4c}{4} = \frac{12}{4}\)
d. Simplify: \(c = 3\)
These examples involve basic arithmetic operations to isolate the variable on one side of the equation.
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