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Simplifying -4(2m + -6) + 9(m + -3) = 13 + -9 Reorder the terms: -4(-6 + 2m) + 9(m + -3) = 13 + -9 (-6 * -4 + 2m * -4) + 9(m + -3) = 13 + -9 (24 + -8m) + 9(m + -3) = 13 + -9 Reorder the terms: 24 + -8m + 9(-3 + m) = 13 + -9 24 + -8m + (-3 * 9 + m * 9) = 13 + -9 24 + -8m + (-27 + 9m) = 13 + -9 Reorder the terms: 24 + -27 + -8m + 9m = 13 + -9 Combine like terms: 24 + -27 = -3 -3 + -8m + 9m = 13 + -9 Combine like terms: -8m + 9m = 1m -3 + 1m = 13 + -9 Combine like terms: 13 + -9 = 4 -3 + 1m = 4 Solving -3 + 1m = 4 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1m = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 1m = 4 + 3 1m = 4 + 3 Combine like terms: 4 + 3 = 7 1m = 7 Divide each side by '1'. m = 7 Simplifying m = 7
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