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Simplifying 5(m + -4) + 8 = 4 + m Reorder the terms: 5(-4 + m) + 8 = 4 + m (-4 * 5 + m * 5) + 8 = 4 + m (-20 + 5m) + 8 = 4 + m Reorder the terms: -20 + 8 + 5m = 4 + m Combine like terms: -20 + 8 = -12 -12 + 5m = 4 + m Solving -12 + 5m = 4 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -12 + 5m + -1m = 4 + m + -1m Combine like terms: 5m + -1m = 4m -12 + 4m = 4 + m + -1m Combine like terms: m + -1m = 0 -12 + 4m = 4 + 0 -12 + 4m = 4 Add '12' to each side of the equation. -12 + 12 + 4m = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 4m = 4 + 12 4m = 4 + 12 Combine like terms: 4 + 12 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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