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Simplifying -21 + 3m = 2(3m + -7) + 2 Reorder the terms: -21 + 3m = 2(-7 + 3m) + 2 -21 + 3m = (-7 * 2 + 3m * 2) + 2 -21 + 3m = (-14 + 6m) + 2 Reorder the terms: -21 + 3m = -14 + 2 + 6m Combine like terms: -14 + 2 = -12 -21 + 3m = -12 + 6m Solving -21 + 3m = -12 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -21 + 3m + -6m = -12 + 6m + -6m Combine like terms: 3m + -6m = -3m -21 + -3m = -12 + 6m + -6m Combine like terms: 6m + -6m = 0 -21 + -3m = -12 + 0 -21 + -3m = -12 Add '21' to each side of the equation. -21 + 21 + -3m = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -3m = -12 + 21 -3m = -12 + 21 Combine like terms: -12 + 21 = 9 -3m = 9 Divide each side by '-3'. m = -3 Simplifying m = -3
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