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Simplifying 12m + -1(6m + 7) + -8m = 15 Reorder the terms: 12m + -1(7 + 6m) + -8m = 15 12m + (7 * -1 + 6m * -1) + -8m = 15 12m + (-7 + -6m) + -8m = 15 Reorder the terms: -7 + 12m + -6m + -8m = 15 Combine like terms: 12m + -6m = 6m -7 + 6m + -8m = 15 Combine like terms: 6m + -8m = -2m -7 + -2m = 15 Solving -7 + -2m = 15 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2m = 15 + 7 Combine like terms: -7 + 7 = 0 0 + -2m = 15 + 7 -2m = 15 + 7 Combine like terms: 15 + 7 = 22 -2m = 22 Divide each side by '-2'. m = -11 Simplifying m = -11
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