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Simplifying 5(2m + -3) = 6(m + -4) Reorder the terms: 5(-3 + 2m) = 6(m + -4) (-3 * 5 + 2m * 5) = 6(m + -4) (-15 + 10m) = 6(m + -4) Reorder the terms: -15 + 10m = 6(-4 + m) -15 + 10m = (-4 * 6 + m * 6) -15 + 10m = (-24 + 6m) Solving -15 + 10m = -24 + 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. -15 + 10m + -6m = -24 + 6m + -6m Combine like terms: 10m + -6m = 4m -15 + 4m = -24 + 6m + -6m Combine like terms: 6m + -6m = 0 -15 + 4m = -24 + 0 -15 + 4m = -24 Add '15' to each side of the equation. -15 + 15 + 4m = -24 + 15 Combine like terms: -15 + 15 = 0 0 + 4m = -24 + 15 4m = -24 + 15 Combine like terms: -24 + 15 = -9 4m = -9 Divide each side by '4'. m = -2.25 Simplifying m = -2.25
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