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Simplifying 7(2 + 7m) = 4(-1 + 8m) + 8m (2 * 7 + 7m * 7) = 4(-1 + 8m) + 8m (14 + 49m) = 4(-1 + 8m) + 8m 14 + 49m = (-1 * 4 + 8m * 4) + 8m 14 + 49m = (-4 + 32m) + 8m Combine like terms: 32m + 8m = 40m 14 + 49m = -4 + 40m Solving 14 + 49m = -4 + 40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40m' to each side of the equation. 14 + 49m + -40m = -4 + 40m + -40m Combine like terms: 49m + -40m = 9m 14 + 9m = -4 + 40m + -40m Combine like terms: 40m + -40m = 0 14 + 9m = -4 + 0 14 + 9m = -4 Add '-14' to each side of the equation. 14 + -14 + 9m = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 9m = -4 + -14 9m = -4 + -14 Combine like terms: -4 + -14 = -18 9m = -18 Divide each side by '9'. m = -2 Simplifying m = -2
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