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Simplifying 5(1 + 4m) * 2 = (3 + 10m) Reorder the terms for easier multiplication: 5 * 2(1 + 4m) = (3 + 10m) Multiply 5 * 2 10(1 + 4m) = (3 + 10m) (1 * 10 + 4m * 10) = (3 + 10m) (10 + 40m) = (3 + 10m) Remove parenthesis around (3 + 10m) 10 + 40m = 3 + 10m Solving 10 + 40m = 3 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 10 + 40m + -10m = 3 + 10m + -10m Combine like terms: 40m + -10m = 30m 10 + 30m = 3 + 10m + -10m Combine like terms: 10m + -10m = 0 10 + 30m = 3 + 0 10 + 30m = 3 Add '-10' to each side of the equation. 10 + -10 + 30m = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 30m = 3 + -10 30m = 3 + -10 Combine like terms: 3 + -10 = -7 30m = -7 Divide each side by '30'. m = -0.2333333333 Simplifying m = -0.2333333333
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