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Simplifying 5(m + -6) = 5 + -4[2(m + -7) + -5m] Reorder the terms: 5(-6 + m) = 5 + -4[2(m + -7) + -5m] (-6 * 5 + m * 5) = 5 + -4[2(m + -7) + -5m] (-30 + 5m) = 5 + -4[2(m + -7) + -5m] Reorder the terms: -30 + 5m = 5 + -4[2(-7 + m) + -5m] -30 + 5m = 5 + -4[(-7 * 2 + m * 2) + -5m] -30 + 5m = 5 + -4[(-14 + 2m) + -5m] Combine like terms: 2m + -5m = -3m -30 + 5m = 5 + -4[-14 + -3m] -30 + 5m = 5 + [-14 * -4 + -3m * -4] -30 + 5m = 5 + [56 + 12m] Combine like terms: 5 + 56 = 61 -30 + 5m = 61 + 12m Solving -30 + 5m = 61 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -30 + 5m + -12m = 61 + 12m + -12m Combine like terms: 5m + -12m = -7m -30 + -7m = 61 + 12m + -12m Combine like terms: 12m + -12m = 0 -30 + -7m = 61 + 0 -30 + -7m = 61 Add '30' to each side of the equation. -30 + 30 + -7m = 61 + 30 Combine like terms: -30 + 30 = 0 0 + -7m = 61 + 30 -7m = 61 + 30 Combine like terms: 61 + 30 = 91 -7m = 91 Divide each side by '-7'. m = -13 Simplifying m = -13
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