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Simplifying 3 + -1(19 + -5h) = 7h + -1(4h + 9) 3 + (19 * -1 + -5h * -1) = 7h + -1(4h + 9) 3 + (-19 + 5h) = 7h + -1(4h + 9) Combine like terms: 3 + -19 = -16 -16 + 5h = 7h + -1(4h + 9) Reorder the terms: -16 + 5h = 7h + -1(9 + 4h) -16 + 5h = 7h + (9 * -1 + 4h * -1) -16 + 5h = 7h + (-9 + -4h) Reorder the terms: -16 + 5h = -9 + 7h + -4h Combine like terms: 7h + -4h = 3h -16 + 5h = -9 + 3h Solving -16 + 5h = -9 + 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. -16 + 5h + -3h = -9 + 3h + -3h Combine like terms: 5h + -3h = 2h -16 + 2h = -9 + 3h + -3h Combine like terms: 3h + -3h = 0 -16 + 2h = -9 + 0 -16 + 2h = -9 Add '16' to each side of the equation. -16 + 16 + 2h = -9 + 16 Combine like terms: -16 + 16 = 0 0 + 2h = -9 + 16 2h = -9 + 16 Combine like terms: -9 + 16 = 7 2h = 7 Divide each side by '2'. h = 3.5 Simplifying h = 3.5
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