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Simplifying 10(h + -1) + 18 = 7(h + 3 + -1) Reorder the terms: 10(-1 + h) + 18 = 7(h + 3 + -1) (-1 * 10 + h * 10) + 18 = 7(h + 3 + -1) (-10 + 10h) + 18 = 7(h + 3 + -1) Reorder the terms: -10 + 18 + 10h = 7(h + 3 + -1) Combine like terms: -10 + 18 = 8 8 + 10h = 7(h + 3 + -1) Reorder the terms: 8 + 10h = 7(3 + -1 + h) Combine like terms: 3 + -1 = 2 8 + 10h = 7(2 + h) 8 + 10h = (2 * 7 + h * 7) 8 + 10h = (14 + 7h) Solving 8 + 10h = 14 + 7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7h' to each side of the equation. 8 + 10h + -7h = 14 + 7h + -7h Combine like terms: 10h + -7h = 3h 8 + 3h = 14 + 7h + -7h Combine like terms: 7h + -7h = 0 8 + 3h = 14 + 0 8 + 3h = 14 Add '-8' to each side of the equation. 8 + -8 + 3h = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 3h = 14 + -8 3h = 14 + -8 Combine like terms: 14 + -8 = 6 3h = 6 Divide each side by '3'. h = 2 Simplifying h = 2
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