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Simplifying -2(m + 7) + 7(9m + -5) = 60(m + -1) + -10 Reorder the terms: -2(7 + m) + 7(9m + -5) = 60(m + -1) + -10 (7 * -2 + m * -2) + 7(9m + -5) = 60(m + -1) + -10 (-14 + -2m) + 7(9m + -5) = 60(m + -1) + -10 Reorder the terms: -14 + -2m + 7(-5 + 9m) = 60(m + -1) + -10 -14 + -2m + (-5 * 7 + 9m * 7) = 60(m + -1) + -10 -14 + -2m + (-35 + 63m) = 60(m + -1) + -10 Reorder the terms: -14 + -35 + -2m + 63m = 60(m + -1) + -10 Combine like terms: -14 + -35 = -49 -49 + -2m + 63m = 60(m + -1) + -10 Combine like terms: -2m + 63m = 61m -49 + 61m = 60(m + -1) + -10 Reorder the terms: -49 + 61m = 60(-1 + m) + -10 -49 + 61m = (-1 * 60 + m * 60) + -10 -49 + 61m = (-60 + 60m) + -10 Reorder the terms: -49 + 61m = -60 + -10 + 60m Combine like terms: -60 + -10 = -70 -49 + 61m = -70 + 60m Solving -49 + 61m = -70 + 60m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-60m' to each side of the equation. -49 + 61m + -60m = -70 + 60m + -60m Combine like terms: 61m + -60m = 1m -49 + 1m = -70 + 60m + -60m Combine like terms: 60m + -60m = 0 -49 + 1m = -70 + 0 -49 + 1m = -70 Add '49' to each side of the equation. -49 + 49 + 1m = -70 + 49 Combine like terms: -49 + 49 = 0 0 + 1m = -70 + 49 1m = -70 + 49 Combine like terms: -70 + 49 = -21 1m = -21 Divide each side by '1'. m = -21 Simplifying m = -21
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