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Simplifying 5(h + 5) = 3(h + -4) Reorder the terms: 5(5 + h) = 3(h + -4) (5 * 5 + h * 5) = 3(h + -4) (25 + 5h) = 3(h + -4) Reorder the terms: 25 + 5h = 3(-4 + h) 25 + 5h = (-4 * 3 + h * 3) 25 + 5h = (-12 + 3h) Solving 25 + 5h = -12 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. 25 + 5h + -3h = -12 + 3h + -3h Combine like terms: 5h + -3h = 2h 25 + 2h = -12 + 3h + -3h Combine like terms: 3h + -3h = 0 25 + 2h = -12 + 0 25 + 2h = -12 Add '-25' to each side of the equation. 25 + -25 + 2h = -12 + -25 Combine like terms: 25 + -25 = 0 0 + 2h = -12 + -25 2h = -12 + -25 Combine like terms: -12 + -25 = -37 2h = -37 Divide each side by '2'. h = -18.5 Simplifying h = -18.5
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