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Simplifying -122 = 2m + 4(1 + -5m) -122 = 2m + (1 * 4 + -5m * 4) -122 = 2m + (4 + -20m) Reorder the terms: -122 = 4 + 2m + -20m Combine like terms: 2m + -20m = -18m -122 = 4 + -18m Solving -122 = 4 + -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. -122 + 18m = 4 + -18m + 18m Combine like terms: -18m + 18m = 0 -122 + 18m = 4 + 0 -122 + 18m = 4 Add '122' to each side of the equation. -122 + 122 + 18m = 4 + 122 Combine like terms: -122 + 122 = 0 0 + 18m = 4 + 122 18m = 4 + 122 Combine like terms: 4 + 122 = 126 18m = 126 Divide each side by '18'. m = 7 Simplifying m = 7
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