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Simplifying 35 = 8 + 9(h + 6) Reorder the terms: 35 = 8 + 9(6 + h) 35 = 8 + (6 * 9 + h * 9) 35 = 8 + (54 + 9h) Combine like terms: 8 + 54 = 62 35 = 62 + 9h Solving 35 = 62 + 9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9h' to each side of the equation. 35 + -9h = 62 + 9h + -9h Combine like terms: 9h + -9h = 0 35 + -9h = 62 + 0 35 + -9h = 62 Add '-35' to each side of the equation. 35 + -35 + -9h = 62 + -35 Combine like terms: 35 + -35 = 0 0 + -9h = 62 + -35 -9h = 62 + -35 Combine like terms: 62 + -35 = 27 -9h = 27 Divide each side by '-9'. h = -3 Simplifying h = -3
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