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Simplifying 69 = 4(h + 5) + -1(h + -1) Reorder the terms: 69 = 4(5 + h) + -1(h + -1) 69 = (5 * 4 + h * 4) + -1(h + -1) 69 = (20 + 4h) + -1(h + -1) Reorder the terms: 69 = 20 + 4h + -1(-1 + h) 69 = 20 + 4h + (-1 * -1 + h * -1) 69 = 20 + 4h + (1 + -1h) Reorder the terms: 69 = 20 + 1 + 4h + -1h Combine like terms: 20 + 1 = 21 69 = 21 + 4h + -1h Combine like terms: 4h + -1h = 3h 69 = 21 + 3h Solving 69 = 21 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. 69 + -3h = 21 + 3h + -3h Combine like terms: 3h + -3h = 0 69 + -3h = 21 + 0 69 + -3h = 21 Add '-69' to each side of the equation. 69 + -69 + -3h = 21 + -69 Combine like terms: 69 + -69 = 0 0 + -3h = 21 + -69 -3h = 21 + -69 Combine like terms: 21 + -69 = -48 -3h = -48 Divide each side by '-3'. h = 16 Simplifying h = 16
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