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Simplifying 2(-6h + 6) + 4(h + -6) = -1h + -4(h + 4) + 4 Reorder the terms: 2(6 + -6h) + 4(h + -6) = -1h + -4(h + 4) + 4 (6 * 2 + -6h * 2) + 4(h + -6) = -1h + -4(h + 4) + 4 (12 + -12h) + 4(h + -6) = -1h + -4(h + 4) + 4 Reorder the terms: 12 + -12h + 4(-6 + h) = -1h + -4(h + 4) + 4 12 + -12h + (-6 * 4 + h * 4) = -1h + -4(h + 4) + 4 12 + -12h + (-24 + 4h) = -1h + -4(h + 4) + 4 Reorder the terms: 12 + -24 + -12h + 4h = -1h + -4(h + 4) + 4 Combine like terms: 12 + -24 = -12 -12 + -12h + 4h = -1h + -4(h + 4) + 4 Combine like terms: -12h + 4h = -8h -12 + -8h = -1h + -4(h + 4) + 4 Reorder the terms: -12 + -8h = -1h + -4(4 + h) + 4 -12 + -8h = -1h + (4 * -4 + h * -4) + 4 -12 + -8h = -1h + (-16 + -4h) + 4 Reorder the terms: -12 + -8h = -16 + 4 + -1h + -4h Combine like terms: -16 + 4 = -12 -12 + -8h = -12 + -1h + -4h Combine like terms: -1h + -4h = -5h -12 + -8h = -12 + -5h Add '12' to each side of the equation. -12 + 12 + -8h = -12 + 12 + -5h Combine like terms: -12 + 12 = 0 0 + -8h = -12 + 12 + -5h -8h = -12 + 12 + -5h Combine like terms: -12 + 12 = 0 -8h = 0 + -5h -8h = -5h Solving -8h = -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. -8h + 5h = -5h + 5h Combine like terms: -8h + 5h = -3h -3h = -5h + 5h Combine like terms: -5h + 5h = 0 -3h = 0 Divide each side by '-3'. h = 0 Simplifying h = 0
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