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Simplifying 6(m + -4) + 2 = 5(m + 1) Reorder the terms: 6(-4 + m) + 2 = 5(m + 1) (-4 * 6 + m * 6) + 2 = 5(m + 1) (-24 + 6m) + 2 = 5(m + 1) Reorder the terms: -24 + 2 + 6m = 5(m + 1) Combine like terms: -24 + 2 = -22 -22 + 6m = 5(m + 1) Reorder the terms: -22 + 6m = 5(1 + m) -22 + 6m = (1 * 5 + m * 5) -22 + 6m = (5 + 5m) Solving -22 + 6m = 5 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -22 + 6m + -5m = 5 + 5m + -5m Combine like terms: 6m + -5m = 1m -22 + 1m = 5 + 5m + -5m Combine like terms: 5m + -5m = 0 -22 + 1m = 5 + 0 -22 + 1m = 5 Add '22' to each side of the equation. -22 + 22 + 1m = 5 + 22 Combine like terms: -22 + 22 = 0 0 + 1m = 5 + 22 1m = 5 + 22 Combine like terms: 5 + 22 = 27 1m = 27 Divide each side by '1'. m = 27 Simplifying m = 27
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