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Simplifying -26.5 = -9 + 8.5(h + 2.5) Reorder the terms: -26.5 = -9 + 8.5(2.5 + h) -26.5 = -9 + (2.5 * 8.5 + h * 8.5) -26.5 = -9 + (21.25 + 8.5h) Combine like terms: -9 + 21.25 = 12.25 -26.5 = 12.25 + 8.5h Solving -26.5 = 12.25 + 8.5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8.5h' to each side of the equation. -26.5 + -8.5h = 12.25 + 8.5h + -8.5h Combine like terms: 8.5h + -8.5h = 0.0 -26.5 + -8.5h = 12.25 + 0.0 -26.5 + -8.5h = 12.25 Add '26.5' to each side of the equation. -26.5 + 26.5 + -8.5h = 12.25 + 26.5 Combine like terms: -26.5 + 26.5 = 0.0 0.0 + -8.5h = 12.25 + 26.5 -8.5h = 12.25 + 26.5 Combine like terms: 12.25 + 26.5 = 38.75 -8.5h = 38.75 Divide each side by '-8.5'. h = -4.558823529 Simplifying h = -4.558823529
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