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Simplifying 2(3n + -4) = 3(h + 1) + -5 Reorder the terms: 2(-4 + 3n) = 3(h + 1) + -5 (-4 * 2 + 3n * 2) = 3(h + 1) + -5 (-8 + 6n) = 3(h + 1) + -5 Reorder the terms: -8 + 6n = 3(1 + h) + -5 -8 + 6n = (1 * 3 + h * 3) + -5 -8 + 6n = (3 + 3h) + -5 Reorder the terms: -8 + 6n = 3 + -5 + 3h Combine like terms: 3 + -5 = -2 -8 + 6n = -2 + 3h Solving -8 + 6n = -2 + 3h Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6n = -2 + 8 + 3h Combine like terms: -8 + 8 = 0 0 + 6n = -2 + 8 + 3h 6n = -2 + 8 + 3h Combine like terms: -2 + 8 = 6 6n = 6 + 3h Divide each side by '6'. n = 1 + 0.5h Simplifying n = 1 + 0.5h
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