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Simplifying -3(2m + -7) + 7m + -3 = 12 + -6 Reorder the terms: -3(-7 + 2m) + 7m + -3 = 12 + -6 (-7 * -3 + 2m * -3) + 7m + -3 = 12 + -6 (21 + -6m) + 7m + -3 = 12 + -6 Reorder the terms: 21 + -3 + -6m + 7m = 12 + -6 Combine like terms: 21 + -3 = 18 18 + -6m + 7m = 12 + -6 Combine like terms: -6m + 7m = 1m 18 + 1m = 12 + -6 Combine like terms: 12 + -6 = 6 18 + 1m = 6 Solving 18 + 1m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1m = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 1m = 6 + -18 1m = 6 + -18 Combine like terms: 6 + -18 = -12 1m = -12 Divide each side by '1'. m = -12 Simplifying m = -12
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