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Simplifying m + 9 = 5(4m + -2) Reorder the terms: 9 + m = 5(4m + -2) Reorder the terms: 9 + m = 5(-2 + 4m) 9 + m = (-2 * 5 + 4m * 5) 9 + m = (-10 + 20m) Solving 9 + m = -10 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 9 + m + -20m = -10 + 20m + -20m Combine like terms: m + -20m = -19m 9 + -19m = -10 + 20m + -20m Combine like terms: 20m + -20m = 0 9 + -19m = -10 + 0 9 + -19m = -10 Add '-9' to each side of the equation. 9 + -9 + -19m = -10 + -9 Combine like terms: 9 + -9 = 0 0 + -19m = -10 + -9 -19m = -10 + -9 Combine like terms: -10 + -9 = -19 -19m = -19 Divide each side by '-19'. m = 1 Simplifying m = 1
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