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Simplifying 382 = 6(1 + -8m) + m 382 = (1 * 6 + -8m * 6) + m 382 = (6 + -48m) + m Combine like terms: -48m + m = -47m 382 = 6 + -47m Solving 382 = 6 + -47m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '47m' to each side of the equation. 382 + 47m = 6 + -47m + 47m Combine like terms: -47m + 47m = 0 382 + 47m = 6 + 0 382 + 47m = 6 Add '-382' to each side of the equation. 382 + -382 + 47m = 6 + -382 Combine like terms: 382 + -382 = 0 0 + 47m = 6 + -382 47m = 6 + -382 Combine like terms: 6 + -382 = -376 47m = -376 Divide each side by '47'. m = -8 Simplifying m = -8
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