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Simplifying -7(7 + 9m) + -9(1 + -12m) = 9m + -6 + 10m (7 * -7 + 9m * -7) + -9(1 + -12m) = 9m + -6 + 10m (-49 + -63m) + -9(1 + -12m) = 9m + -6 + 10m -49 + -63m + (1 * -9 + -12m * -9) = 9m + -6 + 10m -49 + -63m + (-9 + 108m) = 9m + -6 + 10m Reorder the terms: -49 + -9 + -63m + 108m = 9m + -6 + 10m Combine like terms: -49 + -9 = -58 -58 + -63m + 108m = 9m + -6 + 10m Combine like terms: -63m + 108m = 45m -58 + 45m = 9m + -6 + 10m Reorder the terms: -58 + 45m = -6 + 9m + 10m Combine like terms: 9m + 10m = 19m -58 + 45m = -6 + 19m Solving -58 + 45m = -6 + 19m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19m' to each side of the equation. -58 + 45m + -19m = -6 + 19m + -19m Combine like terms: 45m + -19m = 26m -58 + 26m = -6 + 19m + -19m Combine like terms: 19m + -19m = 0 -58 + 26m = -6 + 0 -58 + 26m = -6 Add '58' to each side of the equation. -58 + 58 + 26m = -6 + 58 Combine like terms: -58 + 58 = 0 0 + 26m = -6 + 58 26m = -6 + 58 Combine like terms: -6 + 58 = 52 26m = 52 Divide each side by '26'. m = 2 Simplifying m = 2
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