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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 = 27h 25 + 27h = -24 + -32h + 32h Combine like terms: -32h + 32h = 0 25 + 27h = -24 + 0 25 + 27h = -24 Add '-25' to each side of the equation. 25 + -25 + 27h = -24 + -25 Combine like terms: 25 + -25 = 0 0 + 27h = -24 + -25 27h = -24 + -25 Combine like terms: -24 + -25 = -49 27h = -49 Divide each side by '27'. h = -1.814814815 Simplifying h = -1.814814815
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