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Simplifying 5(h + 6) = 3(h + -1) Reorder the terms: 5(6 + h) = 3(h + -1) (6 * 5 + h * 5) = 3(h + -1) (30 + 5h) = 3(h + -1) Reorder the terms: 30 + 5h = 3(-1 + h) 30 + 5h = (-1 * 3 + h * 3) 30 + 5h = (-3 + 3h) Solving 30 + 5h = -3 + 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. 30 + 5h + -3h = -3 + 3h + -3h Combine like terms: 5h + -3h = 2h 30 + 2h = -3 + 3h + -3h Combine like terms: 3h + -3h = 0 30 + 2h = -3 + 0 30 + 2h = -3 Add '-30' to each side of the equation. 30 + -30 + 2h = -3 + -30 Combine like terms: 30 + -30 = 0 0 + 2h = -3 + -30 2h = -3 + -30 Combine like terms: -3 + -30 = -33 2h = -33 Divide each side by '2'. h = -16.5 Simplifying h = -16.5
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