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Simplifying 6(m + -2) = 5(2m + -3) Reorder the terms: 6(-2 + m) = 5(2m + -3) (-2 * 6 + m * 6) = 5(2m + -3) (-12 + 6m) = 5(2m + -3) Reorder the terms: -12 + 6m = 5(-3 + 2m) -12 + 6m = (-3 * 5 + 2m * 5) -12 + 6m = (-15 + 10m) Solving -12 + 6m = -15 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -12 + 6m + -10m = -15 + 10m + -10m Combine like terms: 6m + -10m = -4m -12 + -4m = -15 + 10m + -10m Combine like terms: 10m + -10m = 0 -12 + -4m = -15 + 0 -12 + -4m = -15 Add '12' to each side of the equation. -12 + 12 + -4m = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -4m = -15 + 12 -4m = -15 + 12 Combine like terms: -15 + 12 = -3 -4m = -3 Divide each side by '-4'. m = 0.75 Simplifying m = 0.75
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