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Simplifying m + 13 = 4(1m + -1) + 8(4m + 1) Reorder the terms: 13 + m = 4(1m + -1) + 8(4m + 1) Reorder the terms: 13 + m = 4(-1 + 1m) + 8(4m + 1) 13 + m = (-1 * 4 + 1m * 4) + 8(4m + 1) 13 + m = (-4 + 4m) + 8(4m + 1) Reorder the terms: 13 + m = -4 + 4m + 8(1 + 4m) 13 + m = -4 + 4m + (1 * 8 + 4m * 8) 13 + m = -4 + 4m + (8 + 32m) Reorder the terms: 13 + m = -4 + 8 + 4m + 32m Combine like terms: -4 + 8 = 4 13 + m = 4 + 4m + 32m Combine like terms: 4m + 32m = 36m 13 + m = 4 + 36m Solving 13 + m = 4 + 36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36m' to each side of the equation. 13 + m + -36m = 4 + 36m + -36m Combine like terms: m + -36m = -35m 13 + -35m = 4 + 36m + -36m Combine like terms: 36m + -36m = 0 13 + -35m = 4 + 0 13 + -35m = 4 Add '-13' to each side of the equation. 13 + -13 + -35m = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -35m = 4 + -13 -35m = 4 + -13 Combine like terms: 4 + -13 = -9 -35m = -9 Divide each side by '-35'. m = 0.2571428571 Simplifying m = 0.2571428571
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