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Simplifying -17.5 = 9.5 + 8(h + 7) Reorder the terms: -17.5 = 9.5 + 8(7 + h) -17.5 = 9.5 + (7 * 8 + h * 8) -17.5 = 9.5 + (56 + 8h) Combine like terms: 9.5 + 56 = 65.5 -17.5 = 65.5 + 8h Solving -17.5 = 65.5 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. -17.5 + -8h = 65.5 + 8h + -8h Combine like terms: 8h + -8h = 0 -17.5 + -8h = 65.5 + 0 -17.5 + -8h = 65.5 Add '17.5' to each side of the equation. -17.5 + 17.5 + -8h = 65.5 + 17.5 Combine like terms: -17.5 + 17.5 = 0.0 0.0 + -8h = 65.5 + 17.5 -8h = 65.5 + 17.5 Combine like terms: 65.5 + 17.5 = 83 -8h = 83 Divide each side by '-8'. h = -10.375 Simplifying h = -10.375
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