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Simplifying 8 = 6(m + -5) + -4(m + -9) Reorder the terms: 8 = 6(-5 + m) + -4(m + -9) 8 = (-5 * 6 + m * 6) + -4(m + -9) 8 = (-30 + 6m) + -4(m + -9) Reorder the terms: 8 = -30 + 6m + -4(-9 + m) 8 = -30 + 6m + (-9 * -4 + m * -4) 8 = -30 + 6m + (36 + -4m) Reorder the terms: 8 = -30 + 36 + 6m + -4m Combine like terms: -30 + 36 = 6 8 = 6 + 6m + -4m Combine like terms: 6m + -4m = 2m 8 = 6 + 2m Solving 8 = 6 + 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. 8 + -2m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 8 + -2m = 6 + 0 8 + -2m = 6 Add '-8' to each side of the equation. 8 + -8 + -2m = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2m = 6 + -8 -2m = 6 + -8 Combine like terms: 6 + -8 = -2 -2m = -2 Divide each side by '-2'. m = 1 Simplifying m = 1
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