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Simplifying -7(3m + -2) = -4(2m + 1) Reorder the terms: -7(-2 + 3m) = -4(2m + 1) (-2 * -7 + 3m * -7) = -4(2m + 1) (14 + -21m) = -4(2m + 1) Reorder the terms: 14 + -21m = -4(1 + 2m) 14 + -21m = (1 * -4 + 2m * -4) 14 + -21m = (-4 + -8m) Solving 14 + -21m = -4 + -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. 14 + -21m + 8m = -4 + -8m + 8m Combine like terms: -21m + 8m = -13m 14 + -13m = -4 + -8m + 8m Combine like terms: -8m + 8m = 0 14 + -13m = -4 + 0 14 + -13m = -4 Add '-14' to each side of the equation. 14 + -14 + -13m = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -13m = -4 + -14 -13m = -4 + -14 Combine like terms: -4 + -14 = -18 -13m = -18 Divide each side by '-13'. m = 1.384615385 Simplifying m = 1.384615385
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