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Simplifying -9r + 7 = 3 + -1(8r + 8) Reorder the terms: 7 + -9r = 3 + -1(8r + 8) Reorder the terms: 7 + -9r = 3 + -1(8 + 8r) 7 + -9r = 3 + (8 * -1 + 8r * -1) 7 + -9r = 3 + (-8 + -8r) Combine like terms: 3 + -8 = -5 7 + -9r = -5 + -8r Solving 7 + -9r = -5 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 7 + -9r + 8r = -5 + -8r + 8r Combine like terms: -9r + 8r = -1r 7 + -1r = -5 + -8r + 8r Combine like terms: -8r + 8r = 0 7 + -1r = -5 + 0 7 + -1r = -5 Add '-7' to each side of the equation. 7 + -7 + -1r = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = -5 + -7 -1r = -5 + -7 Combine like terms: -5 + -7 = -12 -1r = -12 Divide each side by '-1'. r = 12 Simplifying r = 12
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