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Simplifying -4(m + -9) = 3m + -6 Reorder the terms: -4(-9 + m) = 3m + -6 (-9 * -4 + m * -4) = 3m + -6 (36 + -4m) = 3m + -6 Reorder the terms: 36 + -4m = -6 + 3m Solving 36 + -4m = -6 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 36 + -4m + -3m = -6 + 3m + -3m Combine like terms: -4m + -3m = -7m 36 + -7m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 36 + -7m = -6 + 0 36 + -7m = -6 Add '-36' to each side of the equation. 36 + -36 + -7m = -6 + -36 Combine like terms: 36 + -36 = 0 0 + -7m = -6 + -36 -7m = -6 + -36 Combine like terms: -6 + -36 = -42 -7m = -42 Divide each side by '-7'. m = 6 Simplifying m = 6
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