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Simplifying h(h + -3) + -2h = h(h + -2) + -12 Reorder the terms: h(-3 + h) + -2h = h(h + -2) + -12 (-3 * h + h * h) + -2h = h(h + -2) + -12 (-3h + h2) + -2h = h(h + -2) + -12 Reorder the terms: -3h + -2h + h2 = h(h + -2) + -12 Combine like terms: -3h + -2h = -5h -5h + h2 = h(h + -2) + -12 Reorder the terms: -5h + h2 = h(-2 + h) + -12 -5h + h2 = (-2 * h + h * h) + -12 -5h + h2 = (-2h + h2) + -12 Reorder the terms: -5h + h2 = -12 + -2h + h2 Add '-1h2' to each side of the equation. -5h + h2 + -1h2 = -12 + -2h + h2 + -1h2 Combine like terms: h2 + -1h2 = 0 -5h + 0 = -12 + -2h + h2 + -1h2 -5h = -12 + -2h + h2 + -1h2 Combine like terms: h2 + -1h2 = 0 -5h = -12 + -2h + 0 -5h = -12 + -2h Solving -5h = -12 + -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. -5h + 2h = -12 + -2h + 2h Combine like terms: -5h + 2h = -3h -3h = -12 + -2h + 2h Combine like terms: -2h + 2h = 0 -3h = -12 + 0 -3h = -12 Divide each side by '-3'. h = 4 Simplifying h = 4
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