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Simplifying -49 = 5(1 + 4m) + -2m -49 = (1 * 5 + 4m * 5) + -2m -49 = (5 + 20m) + -2m Combine like terms: 20m + -2m = 18m -49 = 5 + 18m Solving -49 = 5 + 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. -49 + -18m = 5 + 18m + -18m Combine like terms: 18m + -18m = 0 -49 + -18m = 5 + 0 -49 + -18m = 5 Add '49' to each side of the equation. -49 + 49 + -18m = 5 + 49 Combine like terms: -49 + 49 = 0 0 + -18m = 5 + 49 -18m = 5 + 49 Combine like terms: 5 + 49 = 54 -18m = 54 Divide each side by '-18'. m = -3 Simplifying m = -3
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