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Simplifying 5m + -8m = -2(m + 3) + -2(-3m + 4) Combine like terms: 5m + -8m = -3m -3m = -2(m + 3) + -2(-3m + 4) Reorder the terms: -3m = -2(3 + m) + -2(-3m + 4) -3m = (3 * -2 + m * -2) + -2(-3m + 4) -3m = (-6 + -2m) + -2(-3m + 4) Reorder the terms: -3m = -6 + -2m + -2(4 + -3m) -3m = -6 + -2m + (4 * -2 + -3m * -2) -3m = -6 + -2m + (-8 + 6m) Reorder the terms: -3m = -6 + -8 + -2m + 6m Combine like terms: -6 + -8 = -14 -3m = -14 + -2m + 6m Combine like terms: -2m + 6m = 4m -3m = -14 + 4m Solving -3m = -14 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -3m + -4m = -14 + 4m + -4m Combine like terms: -3m + -4m = -7m -7m = -14 + 4m + -4m Combine like terms: 4m + -4m = 0 -7m = -14 + 0 -7m = -14 Divide each side by '-7'. m = 2 Simplifying m = 2
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