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Simplifying 274 = -1 + -5(1 + 8m) 274 = -1 + (1 * -5 + 8m * -5) 274 = -1 + (-5 + -40m) Combine like terms: -1 + -5 = -6 274 = -6 + -40m Solving 274 = -6 + -40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '40m' to each side of the equation. 274 + 40m = -6 + -40m + 40m Combine like terms: -40m + 40m = 0 274 + 40m = -6 + 0 274 + 40m = -6 Add '-274' to each side of the equation. 274 + -274 + 40m = -6 + -274 Combine like terms: 274 + -274 = 0 0 + 40m = -6 + -274 40m = -6 + -274 Combine like terms: -6 + -274 = -280 40m = -280 Divide each side by '40'. m = -7 Simplifying m = -7
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