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Simplifying -24 = -6(m + 1) + 6(5m + 1) Reorder the terms: -24 = -6(1 + m) + 6(5m + 1) -24 = (1 * -6 + m * -6) + 6(5m + 1) -24 = (-6 + -6m) + 6(5m + 1) Reorder the terms: -24 = -6 + -6m + 6(1 + 5m) -24 = -6 + -6m + (1 * 6 + 5m * 6) -24 = -6 + -6m + (6 + 30m) Reorder the terms: -24 = -6 + 6 + -6m + 30m Combine like terms: -6 + 6 = 0 -24 = 0 + -6m + 30m -24 = -6m + 30m Combine like terms: -6m + 30m = 24m -24 = 24m Solving -24 = 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -24 + -24m = 24m + -24m Combine like terms: 24m + -24m = 0 -24 + -24m = 0 Add '24' to each side of the equation. -24 + 24 + -24m = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -24m = 0 + 24 -24m = 0 + 24 Combine like terms: 0 + 24 = 24 -24m = 24 Divide each side by '-24'. m = -1 Simplifying m = -1
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