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Simplifying 5 + -3(6 + -7m) = 8m + 39 5 + (6 * -3 + -7m * -3) = 8m + 39 5 + (-18 + 21m) = 8m + 39 Combine like terms: 5 + -18 = -13 -13 + 21m = 8m + 39 Reorder the terms: -13 + 21m = 39 + 8m Solving -13 + 21m = 39 + 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. -13 + 21m + -8m = 39 + 8m + -8m Combine like terms: 21m + -8m = 13m -13 + 13m = 39 + 8m + -8m Combine like terms: 8m + -8m = 0 -13 + 13m = 39 + 0 -13 + 13m = 39 Add '13' to each side of the equation. -13 + 13 + 13m = 39 + 13 Combine like terms: -13 + 13 = 0 0 + 13m = 39 + 13 13m = 39 + 13 Combine like terms: 39 + 13 = 52 13m = 52 Divide each side by '13'. m = 4 Simplifying m = 4
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