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Simplifying -94 = 5(1 + 4m) + -2m -94 = (1 * 5 + 4m * 5) + -2m -94 = (5 + 20m) + -2m Combine like terms: 20m + -2m = 18m -94 = 5 + 18m Solving -94 = 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. -94 + -18m = 5 + 18m + -18m Combine like terms: 18m + -18m = 0 -94 + -18m = 5 + 0 -94 + -18m = 5 Add '94' to each side of the equation. -94 + 94 + -18m = 5 + 94 Combine like terms: -94 + 94 = 0 0 + -18m = 5 + 94 -18m = 5 + 94 Combine like terms: 5 + 94 = 99 -18m = 99 Divide each side by '-18'. m = -5.5 Simplifying m = -5.5
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