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Simplifying -13 = 51(1 + 4m) + -2 -13 = (1 * 51 + 4m * 51) + -2 -13 = (51 + 204m) + -2 Reorder the terms: -13 = 51 + -2 + 204m Combine like terms: 51 + -2 = 49 -13 = 49 + 204m Solving -13 = 49 + 204m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-204m' to each side of the equation. -13 + -204m = 49 + 204m + -204m Combine like terms: 204m + -204m = 0 -13 + -204m = 49 + 0 -13 + -204m = 49 Add '13' to each side of the equation. -13 + 13 + -204m = 49 + 13 Combine like terms: -13 + 13 = 0 0 + -204m = 49 + 13 -204m = 49 + 13 Combine like terms: 49 + 13 = 62 -204m = 62 Divide each side by '-204'. m = -0.3039215686 Simplifying m = -0.3039215686
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