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Simplifying -5(4h + 3) + 6h = -5(h + 4) + -8h Reorder the terms: -5(3 + 4h) + 6h = -5(h + 4) + -8h (3 * -5 + 4h * -5) + 6h = -5(h + 4) + -8h (-15 + -20h) + 6h = -5(h + 4) + -8h Combine like terms: -20h + 6h = -14h -15 + -14h = -5(h + 4) + -8h Reorder the terms: -15 + -14h = -5(4 + h) + -8h -15 + -14h = (4 * -5 + h * -5) + -8h -15 + -14h = (-20 + -5h) + -8h Combine like terms: -5h + -8h = -13h -15 + -14h = -20 + -13h Solving -15 + -14h = -20 + -13h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '13h' to each side of the equation. -15 + -14h + 13h = -20 + -13h + 13h Combine like terms: -14h + 13h = -1h -15 + -1h = -20 + -13h + 13h Combine like terms: -13h + 13h = 0 -15 + -1h = -20 + 0 -15 + -1h = -20 Add '15' to each side of the equation. -15 + 15 + -1h = -20 + 15 Combine like terms: -15 + 15 = 0 0 + -1h = -20 + 15 -1h = -20 + 15 Combine like terms: -20 + 15 = -5 -1h = -5 Divide each side by '-1'. h = 5 Simplifying h = 5
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