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Simplifying -4(2h + -7) = 5(5 + -1h) Reorder the terms: -4(-7 + 2h) = 5(5 + -1h) (-7 * -4 + 2h * -4) = 5(5 + -1h) (28 + -8h) = 5(5 + -1h) 28 + -8h = (5 * 5 + -1h * 5) 28 + -8h = (25 + -5h) Solving 28 + -8h = 25 + -5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '5h' to each side of the equation. 28 + -8h + 5h = 25 + -5h + 5h Combine like terms: -8h + 5h = -3h 28 + -3h = 25 + -5h + 5h Combine like terms: -5h + 5h = 0 28 + -3h = 25 + 0 28 + -3h = 25 Add '-28' to each side of the equation. 28 + -28 + -3h = 25 + -28 Combine like terms: 28 + -28 = 0 0 + -3h = 25 + -28 -3h = 25 + -28 Combine like terms: 25 + -28 = -3 -3h = -3 Divide each side by '-3'. h = 1 Simplifying h = 1
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