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Simplifying 8 + -1(h + 1) = 9 + -1(2h + -1) Reorder the terms: 8 + -1(1 + h) = 9 + -1(2h + -1) 8 + (1 * -1 + h * -1) = 9 + -1(2h + -1) 8 + (-1 + -1h) = 9 + -1(2h + -1) Combine like terms: 8 + -1 = 7 7 + -1h = 9 + -1(2h + -1) Reorder the terms: 7 + -1h = 9 + -1(-1 + 2h) 7 + -1h = 9 + (-1 * -1 + 2h * -1) 7 + -1h = 9 + (1 + -2h) Combine like terms: 9 + 1 = 10 7 + -1h = 10 + -2h Solving 7 + -1h = 10 + -2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2h' to each side of the equation. 7 + -1h + 2h = 10 + -2h + 2h Combine like terms: -1h + 2h = 1h 7 + 1h = 10 + -2h + 2h Combine like terms: -2h + 2h = 0 7 + 1h = 10 + 0 7 + 1h = 10 Add '-7' to each side of the equation. 7 + -7 + 1h = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1h = 10 + -7 1h = 10 + -7 Combine like terms: 10 + -7 = 3 1h = 3 Divide each side by '1'. h = 3 Simplifying h = 3
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