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Simplifying -8(m + 3) + 4m + -2(-3m + 5) = 0 Reorder the terms: -8(3 + m) + 4m + -2(-3m + 5) = 0 (3 * -8 + m * -8) + 4m + -2(-3m + 5) = 0 (-24 + -8m) + 4m + -2(-3m + 5) = 0 Reorder the terms: -24 + -8m + 4m + -2(5 + -3m) = 0 -24 + -8m + 4m + (5 * -2 + -3m * -2) = 0 -24 + -8m + 4m + (-10 + 6m) = 0 Reorder the terms: -24 + -10 + -8m + 4m + 6m = 0 Combine like terms: -24 + -10 = -34 -34 + -8m + 4m + 6m = 0 Combine like terms: -8m + 4m = -4m -34 + -4m + 6m = 0 Combine like terms: -4m + 6m = 2m -34 + 2m = 0 Solving -34 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 2m = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 2m = 0 + 34 2m = 0 + 34 Combine like terms: 0 + 34 = 34 2m = 34 Divide each side by '2'. m = 17 Simplifying m = 17
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