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Simplifying 2(m + -7) + -3(2m + -8) + -12m = 0 Reorder the terms: 2(-7 + m) + -3(2m + -8) + -12m = 0 (-7 * 2 + m * 2) + -3(2m + -8) + -12m = 0 (-14 + 2m) + -3(2m + -8) + -12m = 0 Reorder the terms: -14 + 2m + -3(-8 + 2m) + -12m = 0 -14 + 2m + (-8 * -3 + 2m * -3) + -12m = 0 -14 + 2m + (24 + -6m) + -12m = 0 Reorder the terms: -14 + 24 + 2m + -6m + -12m = 0 Combine like terms: -14 + 24 = 10 10 + 2m + -6m + -12m = 0 Combine like terms: 2m + -6m = -4m 10 + -4m + -12m = 0 Combine like terms: -4m + -12m = -16m 10 + -16m = 0 Solving 10 + -16m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -16m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -16m = 0 + -10 -16m = 0 + -10 Combine like terms: 0 + -10 = -10 -16m = -10 Divide each side by '-16'. m = 0.625 Simplifying m = 0.625
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