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Simplifying -5(h + -5) = 8(4h + 3) Reorder the terms: -5(-5 + h) = 8(4h + 3) (-5 * -5 + h * -5) = 8(4h + 3) (25 + -5h) = 8(4h + 3) Reorder the terms: 25 + -5h = 8(3 + 4h) 25 + -5h = (3 * 8 + 4h * 8) 25 + -5h = (24 + 32h) Solving 25 + -5h = 24 + 32h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-32h' to each side of the equation. 25 + -5h + -32h = 24 + 32h + -32h Combine like terms: -5h + -32h = -37h 25 + -37h = 24 + 32h + -32h Combine like terms: 32h + -32h = 0 25 + -37h = 24 + 0 25 + -37h = 24 Add '-25' to each side of the equation. 25 + -25 + -37h = 24 + -25 Combine like terms: 25 + -25 = 0 0 + -37h = 24 + -25 -37h = 24 + -25 Combine like terms: 24 + -25 = -1 -37h = -1 Divide each side by '-37'. h = 0.02702702703 Simplifying h = 0.02702702703
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