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Simplifying -49 + -6m = 5 + 10(1 + -7m) -49 + -6m = 5 + (1 * 10 + -7m * 10) -49 + -6m = 5 + (10 + -70m) Combine like terms: 5 + 10 = 15 -49 + -6m = 15 + -70m Solving -49 + -6m = 15 + -70m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '70m' to each side of the equation. -49 + -6m + 70m = 15 + -70m + 70m Combine like terms: -6m + 70m = 64m -49 + 64m = 15 + -70m + 70m Combine like terms: -70m + 70m = 0 -49 + 64m = 15 + 0 -49 + 64m = 15 Add '49' to each side of the equation. -49 + 49 + 64m = 15 + 49 Combine like terms: -49 + 49 = 0 0 + 64m = 15 + 49 64m = 15 + 49 Combine like terms: 15 + 49 = 64 64m = 64 Divide each side by '64'. m = 1 Simplifying m = 1
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