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Simplifying 8(m + 4) + 4(2m + 1) = 15(m + 3) + -8 Reorder the terms: 8(4 + m) + 4(2m + 1) = 15(m + 3) + -8 (4 * 8 + m * 8) + 4(2m + 1) = 15(m + 3) + -8 (32 + 8m) + 4(2m + 1) = 15(m + 3) + -8 Reorder the terms: 32 + 8m + 4(1 + 2m) = 15(m + 3) + -8 32 + 8m + (1 * 4 + 2m * 4) = 15(m + 3) + -8 32 + 8m + (4 + 8m) = 15(m + 3) + -8 Reorder the terms: 32 + 4 + 8m + 8m = 15(m + 3) + -8 Combine like terms: 32 + 4 = 36 36 + 8m + 8m = 15(m + 3) + -8 Combine like terms: 8m + 8m = 16m 36 + 16m = 15(m + 3) + -8 Reorder the terms: 36 + 16m = 15(3 + m) + -8 36 + 16m = (3 * 15 + m * 15) + -8 36 + 16m = (45 + 15m) + -8 Reorder the terms: 36 + 16m = 45 + -8 + 15m Combine like terms: 45 + -8 = 37 36 + 16m = 37 + 15m Solving 36 + 16m = 37 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 36 + 16m + -15m = 37 + 15m + -15m Combine like terms: 16m + -15m = 1m 36 + 1m = 37 + 15m + -15m Combine like terms: 15m + -15m = 0 36 + 1m = 37 + 0 36 + 1m = 37 Add '-36' to each side of the equation. 36 + -36 + 1m = 37 + -36 Combine like terms: 36 + -36 = 0 0 + 1m = 37 + -36 1m = 37 + -36 Combine like terms: 37 + -36 = 1 1m = 1 Divide each side by '1'. m = 1 Simplifying m = 1
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