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Simplifying 8(m + 5) = 2(3m + -8) Reorder the terms: 8(5 + m) = 2(3m + -8) (5 * 8 + m * 8) = 2(3m + -8) (40 + 8m) = 2(3m + -8) Reorder the terms: 40 + 8m = 2(-8 + 3m) 40 + 8m = (-8 * 2 + 3m * 2) 40 + 8m = (-16 + 6m) Solving 40 + 8m = -16 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 40 + 8m + -6m = -16 + 6m + -6m Combine like terms: 8m + -6m = 2m 40 + 2m = -16 + 6m + -6m Combine like terms: 6m + -6m = 0 40 + 2m = -16 + 0 40 + 2m = -16 Add '-40' to each side of the equation. 40 + -40 + 2m = -16 + -40 Combine like terms: 40 + -40 = 0 0 + 2m = -16 + -40 2m = -16 + -40 Combine like terms: -16 + -40 = -56 2m = -56 Divide each side by '2'. m = -28 Simplifying m = -28
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