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Simplifying -3(m + 7) = 3 + -6m Reorder the terms: -3(7 + m) = 3 + -6m (7 * -3 + m * -3) = 3 + -6m (-21 + -3m) = 3 + -6m Solving -21 + -3m = 3 + -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 = 3 + -6m + 6m Combine like terms: -3m + 6m = 3m -21 + 3m = 3 + -6m + 6m Combine like terms: -6m + 6m = 0 -21 + 3m = 3 + 0 -21 + 3m = 3 Add '21' to each side of the equation. -21 + 21 + 3m = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 3m = 3 + 21 3m = 3 + 21 Combine like terms: 3 + 21 = 24 3m = 24 Divide each side by '3'. m = 8 Simplifying m = 8
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