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Simplifying 3n + 3(1 + -1h) + -1h = 6 3n + (1 * 3 + -1h * 3) + -1h = 6 3n + (3 + -3h) + -1h = 6 Reorder the terms: 3 + -3h + -1h + 3n = 6 Combine like terms: -3h + -1h = -4h 3 + -4h + 3n = 6 Solving 3 + -4h + 3n = 6 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -4h + -3 + 3n = 6 + -3 Reorder the terms: 3 + -3 + -4h + 3n = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -4h + 3n = 6 + -3 -4h + 3n = 6 + -3 Combine like terms: 6 + -3 = 3 -4h + 3n = 3 Add '-3n' to each side of the equation. -4h + 3n + -3n = 3 + -3n Combine like terms: 3n + -3n = 0 -4h + 0 = 3 + -3n -4h = 3 + -3n Divide each side by '-4'. h = -0.75 + 0.75n Simplifying h = -0.75 + 0.75n
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