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Simplifying -27 + -4h = 5(3h + 9) Reorder the terms: -27 + -4h = 5(9 + 3h) -27 + -4h = (9 * 5 + 3h * 5) -27 + -4h = (45 + 15h) Solving -27 + -4h = 45 + 15h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-15h' to each side of the equation. -27 + -4h + -15h = 45 + 15h + -15h Combine like terms: -4h + -15h = -19h -27 + -19h = 45 + 15h + -15h Combine like terms: 15h + -15h = 0 -27 + -19h = 45 + 0 -27 + -19h = 45 Add '27' to each side of the equation. -27 + 27 + -19h = 45 + 27 Combine like terms: -27 + 27 = 0 0 + -19h = 45 + 27 -19h = 45 + 27 Combine like terms: 45 + 27 = 72 -19h = 72 Divide each side by '-19'. h = -3.789473684 Simplifying h = -3.789473684
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