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Simplifying -77 = -3(1 + 3m) + 8(7 + -7m) -77 = (1 * -3 + 3m * -3) + 8(7 + -7m) -77 = (-3 + -9m) + 8(7 + -7m) -77 = -3 + -9m + (7 * 8 + -7m * 8) -77 = -3 + -9m + (56 + -56m) Reorder the terms: -77 = -3 + 56 + -9m + -56m Combine like terms: -3 + 56 = 53 -77 = 53 + -9m + -56m Combine like terms: -9m + -56m = -65m -77 = 53 + -65m Solving -77 = 53 + -65m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '65m' to each side of the equation. -77 + 65m = 53 + -65m + 65m Combine like terms: -65m + 65m = 0 -77 + 65m = 53 + 0 -77 + 65m = 53 Add '77' to each side of the equation. -77 + 77 + 65m = 53 + 77 Combine like terms: -77 + 77 = 0 0 + 65m = 53 + 77 65m = 53 + 77 Combine like terms: 53 + 77 = 130 65m = 130 Divide each side by '65'. m = 2 Simplifying m = 2
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