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Simplifying -6(-6m + 7) = -3(m + 3) + 6m Reorder the terms: -6(7 + -6m) = -3(m + 3) + 6m (7 * -6 + -6m * -6) = -3(m + 3) + 6m (-42 + 36m) = -3(m + 3) + 6m Reorder the terms: -42 + 36m = -3(3 + m) + 6m -42 + 36m = (3 * -3 + m * -3) + 6m -42 + 36m = (-9 + -3m) + 6m Combine like terms: -3m + 6m = 3m -42 + 36m = -9 + 3m Solving -42 + 36m = -9 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -42 + 36m + -3m = -9 + 3m + -3m Combine like terms: 36m + -3m = 33m -42 + 33m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 -42 + 33m = -9 + 0 -42 + 33m = -9 Add '42' to each side of the equation. -42 + 42 + 33m = -9 + 42 Combine like terms: -42 + 42 = 0 0 + 33m = -9 + 42 33m = -9 + 42 Combine like terms: -9 + 42 = 33 33m = 33 Divide each side by '33'. m = 1 Simplifying m = 1
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