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Simplifying -3m + -21 = 2m + -1(-1m + 3) Reorder the terms: -21 + -3m = 2m + -1(-1m + 3) Reorder the terms: -21 + -3m = 2m + -1(3 + -1m) -21 + -3m = 2m + (3 * -1 + -1m * -1) -21 + -3m = 2m + (-3 + 1m) Reorder the terms: -21 + -3m = -3 + 2m + 1m Combine like terms: 2m + 1m = 3m -21 + -3m = -3 + 3m Solving -21 + -3m = -3 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -21 + -3m + -3m = -3 + 3m + -3m Combine like terms: -3m + -3m = -6m -21 + -6m = -3 + 3m + -3m Combine like terms: 3m + -3m = 0 -21 + -6m = -3 + 0 -21 + -6m = -3 Add '21' to each side of the equation. -21 + 21 + -6m = -3 + 21 Combine like terms: -21 + 21 = 0 0 + -6m = -3 + 21 -6m = -3 + 21 Combine like terms: -3 + 21 = 18 -6m = 18 Divide each side by '-6'. m = -3 Simplifying m = -3
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