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Simplifying 5(-9m + -2) + 6(m + -8) = 59 Reorder the terms: 5(-2 + -9m) + 6(m + -8) = 59 (-2 * 5 + -9m * 5) + 6(m + -8) = 59 (-10 + -45m) + 6(m + -8) = 59 Reorder the terms: -10 + -45m + 6(-8 + m) = 59 -10 + -45m + (-8 * 6 + m * 6) = 59 -10 + -45m + (-48 + 6m) = 59 Reorder the terms: -10 + -48 + -45m + 6m = 59 Combine like terms: -10 + -48 = -58 -58 + -45m + 6m = 59 Combine like terms: -45m + 6m = -39m -58 + -39m = 59 Solving -58 + -39m = 59 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -39m = 59 + 58 Combine like terms: -58 + 58 = 0 0 + -39m = 59 + 58 -39m = 59 + 58 Combine like terms: 59 + 58 = 117 -39m = 117 Divide each side by '-39'. m = -3 Simplifying m = -3
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