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Simplifying 7(2m + -5) + 6m = -4(-3m + -6) Reorder the terms: 7(-5 + 2m) + 6m = -4(-3m + -6) (-5 * 7 + 2m * 7) + 6m = -4(-3m + -6) (-35 + 14m) + 6m = -4(-3m + -6) Combine like terms: 14m + 6m = 20m -35 + 20m = -4(-3m + -6) Reorder the terms: -35 + 20m = -4(-6 + -3m) -35 + 20m = (-6 * -4 + -3m * -4) -35 + 20m = (24 + 12m) Solving -35 + 20m = 24 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -35 + 20m + -12m = 24 + 12m + -12m Combine like terms: 20m + -12m = 8m -35 + 8m = 24 + 12m + -12m Combine like terms: 12m + -12m = 0 -35 + 8m = 24 + 0 -35 + 8m = 24 Add '35' to each side of the equation. -35 + 35 + 8m = 24 + 35 Combine like terms: -35 + 35 = 0 0 + 8m = 24 + 35 8m = 24 + 35 Combine like terms: 24 + 35 = 59 8m = 59 Divide each side by '8'. m = 7.375 Simplifying m = 7.375
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