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Simplifying -6(m + 4) + 3(3m + -8) = -57 Reorder the terms: -6(4 + m) + 3(3m + -8) = -57 (4 * -6 + m * -6) + 3(3m + -8) = -57 (-24 + -6m) + 3(3m + -8) = -57 Reorder the terms: -24 + -6m + 3(-8 + 3m) = -57 -24 + -6m + (-8 * 3 + 3m * 3) = -57 -24 + -6m + (-24 + 9m) = -57 Reorder the terms: -24 + -24 + -6m + 9m = -57 Combine like terms: -24 + -24 = -48 -48 + -6m + 9m = -57 Combine like terms: -6m + 9m = 3m -48 + 3m = -57 Solving -48 + 3m = -57 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 3m = -57 + 48 Combine like terms: -48 + 48 = 0 0 + 3m = -57 + 48 3m = -57 + 48 Combine like terms: -57 + 48 = -9 3m = -9 Divide each side by '3'. m = -3 Simplifying m = -3
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