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Simplifying -24.5 = 3.5 + 4.5(h + 6.5) Reorder the terms: -24.5 = 3.5 + 4.5(6.5 + h) -24.5 = 3.5 + (6.5 * 4.5 + h * 4.5) -24.5 = 3.5 + (29.25 + 4.5h) Combine like terms: 3.5 + 29.25 = 32.75 -24.5 = 32.75 + 4.5h Solving -24.5 = 32.75 + 4.5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4.5h' to each side of the equation. -24.5 + -4.5h = 32.75 + 4.5h + -4.5h Combine like terms: 4.5h + -4.5h = 0.0 -24.5 + -4.5h = 32.75 + 0.0 -24.5 + -4.5h = 32.75 Add '24.5' to each side of the equation. -24.5 + 24.5 + -4.5h = 32.75 + 24.5 Combine like terms: -24.5 + 24.5 = 0.0 0.0 + -4.5h = 32.75 + 24.5 -4.5h = 32.75 + 24.5 Combine like terms: 32.75 + 24.5 = 57.25 -4.5h = 57.25 Divide each side by '-4.5'. h = -12.72222222 Simplifying h = -12.72222222
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