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Simplifying 6(m + -2) = -3m + 51 Reorder the terms: 6(-2 + m) = -3m + 51 (-2 * 6 + m * 6) = -3m + 51 (-12 + 6m) = -3m + 51 Reorder the terms: -12 + 6m = 51 + -3m Solving -12 + 6m = 51 + -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. -12 + 6m + 3m = 51 + -3m + 3m Combine like terms: 6m + 3m = 9m -12 + 9m = 51 + -3m + 3m Combine like terms: -3m + 3m = 0 -12 + 9m = 51 + 0 -12 + 9m = 51 Add '12' to each side of the equation. -12 + 12 + 9m = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 9m = 51 + 12 9m = 51 + 12 Combine like terms: 51 + 12 = 63 9m = 63 Divide each side by '9'. m = 7 Simplifying m = 7
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