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Simplifying 7(m + -3) + 2(3m + 10) = 38 Reorder the terms: 7(-3 + m) + 2(3m + 10) = 38 (-3 * 7 + m * 7) + 2(3m + 10) = 38 (-21 + 7m) + 2(3m + 10) = 38 Reorder the terms: -21 + 7m + 2(10 + 3m) = 38 -21 + 7m + (10 * 2 + 3m * 2) = 38 -21 + 7m + (20 + 6m) = 38 Reorder the terms: -21 + 20 + 7m + 6m = 38 Combine like terms: -21 + 20 = -1 -1 + 7m + 6m = 38 Combine like terms: 7m + 6m = 13m -1 + 13m = 38 Solving -1 + 13m = 38 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 13m = 38 + 1 Combine like terms: -1 + 1 = 0 0 + 13m = 38 + 1 13m = 38 + 1 Combine like terms: 38 + 1 = 39 13m = 39 Divide each side by '13'. m = 3 Simplifying m = 3
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