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Simplifying 7(3m + -1) = 8m + 12 Reorder the terms: 7(-1 + 3m) = 8m + 12 (-1 * 7 + 3m * 7) = 8m + 12 (-7 + 21m) = 8m + 12 Reorder the terms: -7 + 21m = 12 + 8m Solving -7 + 21m = 12 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -7 + 21m + -8m = 12 + 8m + -8m Combine like terms: 21m + -8m = 13m -7 + 13m = 12 + 8m + -8m Combine like terms: 8m + -8m = 0 -7 + 13m = 12 + 0 -7 + 13m = 12 Add '7' to each side of the equation. -7 + 7 + 13m = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 13m = 12 + 7 13m = 12 + 7 Combine like terms: 12 + 7 = 19 13m = 19 Divide each side by '13'. m = 1.461538462 Simplifying m = 1.461538462
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