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Simplifying -39 = -8(h + 2) + 3(2h + -5) Reorder the terms: -39 = -8(2 + h) + 3(2h + -5) -39 = (2 * -8 + h * -8) + 3(2h + -5) -39 = (-16 + -8h) + 3(2h + -5) Reorder the terms: -39 = -16 + -8h + 3(-5 + 2h) -39 = -16 + -8h + (-5 * 3 + 2h * 3) -39 = -16 + -8h + (-15 + 6h) Reorder the terms: -39 = -16 + -15 + -8h + 6h Combine like terms: -16 + -15 = -31 -39 = -31 + -8h + 6h Combine like terms: -8h + 6h = -2h -39 = -31 + -2h Solving -39 = -31 + -2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2h' to each side of the equation. -39 + 2h = -31 + -2h + 2h Combine like terms: -2h + 2h = 0 -39 + 2h = -31 + 0 -39 + 2h = -31 Add '39' to each side of the equation. -39 + 39 + 2h = -31 + 39 Combine like terms: -39 + 39 = 0 0 + 2h = -31 + 39 2h = -31 + 39 Combine like terms: -31 + 39 = 8 2h = 8 Divide each side by '2'. h = 4 Simplifying h = 4
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