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Simplifying 75 = -2m + 5(4m + -3) Reorder the terms: 75 = -2m + 5(-3 + 4m) 75 = -2m + (-3 * 5 + 4m * 5) 75 = -2m + (-15 + 20m) Reorder the terms: 75 = -15 + -2m + 20m Combine like terms: -2m + 20m = 18m 75 = -15 + 18m Solving 75 = -15 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 75 + -18m = -15 + 18m + -18m Combine like terms: 18m + -18m = 0 75 + -18m = -15 + 0 75 + -18m = -15 Add '-75' to each side of the equation. 75 + -75 + -18m = -15 + -75 Combine like terms: 75 + -75 = 0 0 + -18m = -15 + -75 -18m = -15 + -75 Combine like terms: -15 + -75 = -90 -18m = -90 Divide each side by '-18'. m = 5 Simplifying m = 5
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