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Simplifying 4(m + 7) = -8(m + 1) Reorder the terms: 4(7 + m) = -8(m + 1) (7 * 4 + m * 4) = -8(m + 1) (28 + 4m) = -8(m + 1) Reorder the terms: 28 + 4m = -8(1 + m) 28 + 4m = (1 * -8 + m * -8) 28 + 4m = (-8 + -8m) Solving 28 + 4m = -8 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 28 + 4m + 8m = -8 + -8m + 8m Combine like terms: 4m + 8m = 12m 28 + 12m = -8 + -8m + 8m Combine like terms: -8m + 8m = 0 28 + 12m = -8 + 0 28 + 12m = -8 Add '-28' to each side of the equation. 28 + -28 + 12m = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 12m = -8 + -28 12m = -8 + -28 Combine like terms: -8 + -28 = -36 12m = -36 Divide each side by '12'. m = -3 Simplifying m = -3
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