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Simplifying 55 = 8(5 + -3m) + 5(3 + -8m) 55 = (5 * 8 + -3m * 8) + 5(3 + -8m) 55 = (40 + -24m) + 5(3 + -8m) 55 = 40 + -24m + (3 * 5 + -8m * 5) 55 = 40 + -24m + (15 + -40m) Reorder the terms: 55 = 40 + 15 + -24m + -40m Combine like terms: 40 + 15 = 55 55 = 55 + -24m + -40m Combine like terms: -24m + -40m = -64m 55 = 55 + -64m Add '-55' to each side of the equation. 55 + -55 = 55 + -55 + -64m Combine like terms: 55 + -55 = 0 0 = 55 + -55 + -64m Combine like terms: 55 + -55 = 0 0 = 0 + -64m 0 = -64m Solving 0 = -64m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '64m' to each side of the equation. 0 + 64m = -64m + 64m Remove the zero: 64m = -64m + 64m Combine like terms: -64m + 64m = 0 64m = 0 Divide each side by '64'. m = 0 Simplifying m = 0
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