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Simplifying -7m + -1[3(10 + -3m) + 5] = 9m -7m + -1[(10 * 3 + -3m * 3) + 5] = 9m -7m + -1[(30 + -9m) + 5] = 9m Reorder the terms: -7m + -1[30 + 5 + -9m] = 9m Combine like terms: 30 + 5 = 35 -7m + -1[35 + -9m] = 9m -7m + [35 * -1 + -9m * -1] = 9m -7m + [-35 + 9m] = 9m Reorder the terms: -35 + -7m + 9m = 9m Combine like terms: -7m + 9m = 2m -35 + 2m = 9m Solving -35 + 2m = 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -35 + 2m + -9m = 9m + -9m Combine like terms: 2m + -9m = -7m -35 + -7m = 9m + -9m Combine like terms: 9m + -9m = 0 -35 + -7m = 0 Add '35' to each side of the equation. -35 + 35 + -7m = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -7m = 0 + 35 -7m = 0 + 35 Combine like terms: 0 + 35 = 35 -7m = 35 Divide each side by '-7'. m = -5 Simplifying m = -5
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