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Simplifying g(h) = (3h + -1)(h + 5) Multiply g * h gh = (3h + -1)(h + 5) Reorder the terms: gh = (-1 + 3h)(h + 5) Reorder the terms: gh = (-1 + 3h)(5 + h) Multiply (-1 + 3h) * (5 + h) gh = (-1(5 + h) + 3h * (5 + h)) gh = ((5 * -1 + h * -1) + 3h * (5 + h)) gh = ((-5 + -1h) + 3h * (5 + h)) gh = (-5 + -1h + (5 * 3h + h * 3h)) gh = (-5 + -1h + (15h + 3h2)) Combine like terms: -1h + 15h = 14h gh = (-5 + 14h + 3h2) Solving gh = -5 + 14h + 3h2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'h'. g = -5h-1 + 14 + 3h Simplifying g = -5h-1 + 14 + 3h Reorder the terms: g = 14 + -5h-1 + 3h
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