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Simplifying 6(r + -2) = 9r + -9 Reorder the terms: 6(-2 + r) = 9r + -9 (-2 * 6 + r * 6) = 9r + -9 (-12 + 6r) = 9r + -9 Reorder the terms: -12 + 6r = -9 + 9r Solving -12 + 6r = -9 + 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. -12 + 6r + -9r = -9 + 9r + -9r Combine like terms: 6r + -9r = -3r -12 + -3r = -9 + 9r + -9r Combine like terms: 9r + -9r = 0 -12 + -3r = -9 + 0 -12 + -3r = -9 Add '12' to each side of the equation. -12 + 12 + -3r = -9 + 12 Combine like terms: -12 + 12 = 0 0 + -3r = -9 + 12 -3r = -9 + 12 Combine like terms: -9 + 12 = 3 -3r = 3 Divide each side by '-3'. r = -1 Simplifying r = -1
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