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Simplifying -5 + 7(-8m + 1) = 338 Reorder the terms: -5 + 7(1 + -8m) = 338 -5 + (1 * 7 + -8m * 7) = 338 -5 + (7 + -56m) = 338 Combine like terms: -5 + 7 = 2 2 + -56m = 338 Solving 2 + -56m = 338 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -56m = 338 + -2 Combine like terms: 2 + -2 = 0 0 + -56m = 338 + -2 -56m = 338 + -2 Combine like terms: 338 + -2 = 336 -56m = 336 Divide each side by '-56'. m = -6 Simplifying m = -6
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