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Simplifying 14 + 3h = 8h + -3(h + -4) Reorder the terms: 14 + 3h = 8h + -3(-4 + h) 14 + 3h = 8h + (-4 * -3 + h * -3) 14 + 3h = 8h + (12 + -3h) Reorder the terms: 14 + 3h = 12 + 8h + -3h Combine like terms: 8h + -3h = 5h 14 + 3h = 12 + 5h Solving 14 + 3h = 12 + 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. 14 + 3h + -5h = 12 + 5h + -5h Combine like terms: 3h + -5h = -2h 14 + -2h = 12 + 5h + -5h Combine like terms: 5h + -5h = 0 14 + -2h = 12 + 0 14 + -2h = 12 Add '-14' to each side of the equation. 14 + -14 + -2h = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -2h = 12 + -14 -2h = 12 + -14 Combine like terms: 12 + -14 = -2 -2h = -2 Divide each side by '-2'. h = 1 Simplifying h = 1
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