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Simplifying 5(2m + -3) + -4(m + -1) = 0 Reorder the terms: 5(-3 + 2m) + -4(m + -1) = 0 (-3 * 5 + 2m * 5) + -4(m + -1) = 0 (-15 + 10m) + -4(m + -1) = 0 Reorder the terms: -15 + 10m + -4(-1 + m) = 0 -15 + 10m + (-1 * -4 + m * -4) = 0 -15 + 10m + (4 + -4m) = 0 Reorder the terms: -15 + 4 + 10m + -4m = 0 Combine like terms: -15 + 4 = -11 -11 + 10m + -4m = 0 Combine like terms: 10m + -4m = 6m -11 + 6m = 0 Solving -11 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 6m = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 6m = 0 + 11 6m = 0 + 11 Combine like terms: 0 + 11 = 11 6m = 11 Divide each side by '6'. m = 1.833333333 Simplifying m = 1.833333333
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