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Simplifying 6(m + 3) + 8(4m + 1) = 37(m + 1) + -5 Reorder the terms: 6(3 + m) + 8(4m + 1) = 37(m + 1) + -5 (3 * 6 + m * 6) + 8(4m + 1) = 37(m + 1) + -5 (18 + 6m) + 8(4m + 1) = 37(m + 1) + -5 Reorder the terms: 18 + 6m + 8(1 + 4m) = 37(m + 1) + -5 18 + 6m + (1 * 8 + 4m * 8) = 37(m + 1) + -5 18 + 6m + (8 + 32m) = 37(m + 1) + -5 Reorder the terms: 18 + 8 + 6m + 32m = 37(m + 1) + -5 Combine like terms: 18 + 8 = 26 26 + 6m + 32m = 37(m + 1) + -5 Combine like terms: 6m + 32m = 38m 26 + 38m = 37(m + 1) + -5 Reorder the terms: 26 + 38m = 37(1 + m) + -5 26 + 38m = (1 * 37 + m * 37) + -5 26 + 38m = (37 + 37m) + -5 Reorder the terms: 26 + 38m = 37 + -5 + 37m Combine like terms: 37 + -5 = 32 26 + 38m = 32 + 37m Solving 26 + 38m = 32 + 37m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-37m' to each side of the equation. 26 + 38m + -37m = 32 + 37m + -37m Combine like terms: 38m + -37m = 1m 26 + 1m = 32 + 37m + -37m Combine like terms: 37m + -37m = 0 26 + 1m = 32 + 0 26 + 1m = 32 Add '-26' to each side of the equation. 26 + -26 + 1m = 32 + -26 Combine like terms: 26 + -26 = 0 0 + 1m = 32 + -26 1m = 32 + -26 Combine like terms: 32 + -26 = 6 1m = 6 Divide each side by '1'. m = 6 Simplifying m = 6
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