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Simplifying 8(3m + 5) = 2m + -4 Reorder the terms: 8(5 + 3m) = 2m + -4 (5 * 8 + 3m * 8) = 2m + -4 (40 + 24m) = 2m + -4 Reorder the terms: 40 + 24m = -4 + 2m Solving 40 + 24m = -4 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 40 + 24m + -2m = -4 + 2m + -2m Combine like terms: 24m + -2m = 22m 40 + 22m = -4 + 2m + -2m Combine like terms: 2m + -2m = 0 40 + 22m = -4 + 0 40 + 22m = -4 Add '-40' to each side of the equation. 40 + -40 + 22m = -4 + -40 Combine like terms: 40 + -40 = 0 0 + 22m = -4 + -40 22m = -4 + -40 Combine like terms: -4 + -40 = -44 22m = -44 Divide each side by '22'. m = -2 Simplifying m = -2
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