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Simplifying -86 = 4 + 3(-6 + 3r) -86 = 4 + (-6 * 3 + 3r * 3) -86 = 4 + (-18 + 9r) Combine like terms: 4 + -18 = -14 -86 = -14 + 9r Solving -86 = -14 + 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. -86 + -9r = -14 + 9r + -9r Combine like terms: 9r + -9r = 0 -86 + -9r = -14 + 0 -86 + -9r = -14 Add '86' to each side of the equation. -86 + 86 + -9r = -14 + 86 Combine like terms: -86 + 86 = 0 0 + -9r = -14 + 86 -9r = -14 + 86 Combine like terms: -14 + 86 = 72 -9r = 72 Divide each side by '-9'. r = -8 Simplifying r = -8
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