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Simplifying -289 = 8(5 + -6m) + m -289 = (5 * 8 + -6m * 8) + m -289 = (40 + -48m) + m Combine like terms: -48m + m = -47m -289 = 40 + -47m Solving -289 = 40 + -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. -289 + 47m = 40 + -47m + 47m Combine like terms: -47m + 47m = 0 -289 + 47m = 40 + 0 -289 + 47m = 40 Add '289' to each side of the equation. -289 + 289 + 47m = 40 + 289 Combine like terms: -289 + 289 = 0 0 + 47m = 40 + 289 47m = 40 + 289 Combine like terms: 40 + 289 = 329 47m = 329 Divide each side by '47'. m = 7 Simplifying m = 7
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