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Simplifying 4(m + -9) = -2(m + -5) + 2 Reorder the terms: 4(-9 + m) = -2(m + -5) + 2 (-9 * 4 + m * 4) = -2(m + -5) + 2 (-36 + 4m) = -2(m + -5) + 2 Reorder the terms: -36 + 4m = -2(-5 + m) + 2 -36 + 4m = (-5 * -2 + m * -2) + 2 -36 + 4m = (10 + -2m) + 2 Reorder the terms: -36 + 4m = 10 + 2 + -2m Combine like terms: 10 + 2 = 12 -36 + 4m = 12 + -2m Solving -36 + 4m = 12 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -36 + 4m + 2m = 12 + -2m + 2m Combine like terms: 4m + 2m = 6m -36 + 6m = 12 + -2m + 2m Combine like terms: -2m + 2m = 0 -36 + 6m = 12 + 0 -36 + 6m = 12 Add '36' to each side of the equation. -36 + 36 + 6m = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 6m = 12 + 36 6m = 12 + 36 Combine like terms: 12 + 36 = 48 6m = 48 Divide each side by '6'. m = 8 Simplifying m = 8
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