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Simplifying 6(m + -1) = -3(-4m + -5) Reorder the terms: 6(-1 + m) = -3(-4m + -5) (-1 * 6 + m * 6) = -3(-4m + -5) (-6 + 6m) = -3(-4m + -5) Reorder the terms: -6 + 6m = -3(-5 + -4m) -6 + 6m = (-5 * -3 + -4m * -3) -6 + 6m = (15 + 12m) Solving -6 + 6m = 15 + 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. -6 + 6m + -12m = 15 + 12m + -12m Combine like terms: 6m + -12m = -6m -6 + -6m = 15 + 12m + -12m Combine like terms: 12m + -12m = 0 -6 + -6m = 15 + 0 -6 + -6m = 15 Add '6' to each side of the equation. -6 + 6 + -6m = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -6m = 15 + 6 -6m = 15 + 6 Combine like terms: 15 + 6 = 21 -6m = 21 Divide each side by '-6'. m = -3.5 Simplifying m = -3.5
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