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Simplifying 4(r + 3) + -2 = 9r Reorder the terms: 4(3 + r) + -2 = 9r (3 * 4 + r * 4) + -2 = 9r (12 + 4r) + -2 = 9r Reorder the terms: 12 + -2 + 4r = 9r Combine like terms: 12 + -2 = 10 10 + 4r = 9r Solving 10 + 4r = 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 10 + 4r + -9r = 9r + -9r Combine like terms: 4r + -9r = -5r 10 + -5r = 9r + -9r Combine like terms: 9r + -9r = 0 10 + -5r = 0 Add '-10' to each side of the equation. 10 + -10 + -5r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5r = 0 + -10 -5r = 0 + -10 Combine like terms: 0 + -10 = -10 -5r = -10 Divide each side by '-5'. r = 2 Simplifying r = 2
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