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Simplifying 455 = 7(1 + 8m) 455 = (1 * 7 + 8m * 7) 455 = (7 + 56m) Solving 455 = 7 + 56m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-56m' to each side of the equation. 455 + -56m = 7 + 56m + -56m Combine like terms: 56m + -56m = 0 455 + -56m = 7 + 0 455 + -56m = 7 Add '-455' to each side of the equation. 455 + -455 + -56m = 7 + -455 Combine like terms: 455 + -455 = 0 0 + -56m = 7 + -455 -56m = 7 + -455 Combine like terms: 7 + -455 = -448 -56m = -448 Divide each side by '-56'. m = 8 Simplifying m = 8
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