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Simplifying 3(4m + -5) + -6 = -1(6m + 8) + -7 Reorder the terms: 3(-5 + 4m) + -6 = -1(6m + 8) + -7 (-5 * 3 + 4m * 3) + -6 = -1(6m + 8) + -7 (-15 + 12m) + -6 = -1(6m + 8) + -7 Reorder the terms: -15 + -6 + 12m = -1(6m + 8) + -7 Combine like terms: -15 + -6 = -21 -21 + 12m = -1(6m + 8) + -7 Reorder the terms: -21 + 12m = -1(8 + 6m) + -7 -21 + 12m = (8 * -1 + 6m * -1) + -7 -21 + 12m = (-8 + -6m) + -7 Reorder the terms: -21 + 12m = -8 + -7 + -6m Combine like terms: -8 + -7 = -15 -21 + 12m = -15 + -6m Solving -21 + 12m = -15 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -21 + 12m + 6m = -15 + -6m + 6m Combine like terms: 12m + 6m = 18m -21 + 18m = -15 + -6m + 6m Combine like terms: -6m + 6m = 0 -21 + 18m = -15 + 0 -21 + 18m = -15 Add '21' to each side of the equation. -21 + 21 + 18m = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 18m = -15 + 21 18m = -15 + 21 Combine like terms: -15 + 21 = 6 18m = 6 Divide each side by '18'. m = 0.3333333333 Simplifying m = 0.3333333333
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