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Simplifying -3(5m + 8) + 4(m + -2) = 0 Reorder the terms: -3(8 + 5m) + 4(m + -2) = 0 (8 * -3 + 5m * -3) + 4(m + -2) = 0 (-24 + -15m) + 4(m + -2) = 0 Reorder the terms: -24 + -15m + 4(-2 + m) = 0 -24 + -15m + (-2 * 4 + m * 4) = 0 -24 + -15m + (-8 + 4m) = 0 Reorder the terms: -24 + -8 + -15m + 4m = 0 Combine like terms: -24 + -8 = -32 -32 + -15m + 4m = 0 Combine like terms: -15m + 4m = -11m -32 + -11m = 0 Solving -32 + -11m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -11m = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -11m = 0 + 32 -11m = 0 + 32 Combine like terms: 0 + 32 = 32 -11m = 32 Divide each side by '-11'. m = -2.909090909 Simplifying m = -2.909090909
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