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Simplifying 6(m + -6) = 5m + -5(4 + -1m) Reorder the terms: 6(-6 + m) = 5m + -5(4 + -1m) (-6 * 6 + m * 6) = 5m + -5(4 + -1m) (-36 + 6m) = 5m + -5(4 + -1m) -36 + 6m = 5m + (4 * -5 + -1m * -5) -36 + 6m = 5m + (-20 + 5m) Reorder the terms: -36 + 6m = -20 + 5m + 5m Combine like terms: 5m + 5m = 10m -36 + 6m = -20 + 10m Solving -36 + 6m = -20 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -36 + 6m + -10m = -20 + 10m + -10m Combine like terms: 6m + -10m = -4m -36 + -4m = -20 + 10m + -10m Combine like terms: 10m + -10m = 0 -36 + -4m = -20 + 0 -36 + -4m = -20 Add '36' to each side of the equation. -36 + 36 + -4m = -20 + 36 Combine like terms: -36 + 36 = 0 0 + -4m = -20 + 36 -4m = -20 + 36 Combine like terms: -20 + 36 = 16 -4m = 16 Divide each side by '-4'. m = -4 Simplifying m = -4
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