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Simplifying 3(-7m + -2) + 10 = 43 + -8m Reorder the terms: 3(-2 + -7m) + 10 = 43 + -8m (-2 * 3 + -7m * 3) + 10 = 43 + -8m (-6 + -21m) + 10 = 43 + -8m Reorder the terms: -6 + 10 + -21m = 43 + -8m Combine like terms: -6 + 10 = 4 4 + -21m = 43 + -8m Solving 4 + -21m = 43 + -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. 4 + -21m + 8m = 43 + -8m + 8m Combine like terms: -21m + 8m = -13m 4 + -13m = 43 + -8m + 8m Combine like terms: -8m + 8m = 0 4 + -13m = 43 + 0 4 + -13m = 43 Add '-4' to each side of the equation. 4 + -4 + -13m = 43 + -4 Combine like terms: 4 + -4 = 0 0 + -13m = 43 + -4 -13m = 43 + -4 Combine like terms: 43 + -4 = 39 -13m = 39 Divide each side by '-13'. m = -3 Simplifying m = -3
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