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Simplifying 89(m + -5) = 2(3m + -8) Reorder the terms: 89(-5 + m) = 2(3m + -8) (-5 * 89 + m * 89) = 2(3m + -8) (-445 + 89m) = 2(3m + -8) Reorder the terms: -445 + 89m = 2(-8 + 3m) -445 + 89m = (-8 * 2 + 3m * 2) -445 + 89m = (-16 + 6m) Solving -445 + 89m = -16 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -445 + 89m + -6m = -16 + 6m + -6m Combine like terms: 89m + -6m = 83m -445 + 83m = -16 + 6m + -6m Combine like terms: 6m + -6m = 0 -445 + 83m = -16 + 0 -445 + 83m = -16 Add '445' to each side of the equation. -445 + 445 + 83m = -16 + 445 Combine like terms: -445 + 445 = 0 0 + 83m = -16 + 445 83m = -16 + 445 Combine like terms: -16 + 445 = 429 83m = 429 Divide each side by '83'. m = 5.168674699 Simplifying m = 5.168674699
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