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Simplifying -12 = (-3h + -1) + 4(2 + -1h) Reorder the terms: -12 = (-1 + -3h) + 4(2 + -1h) Remove parenthesis around (-1 + -3h) -12 = -1 + -3h + 4(2 + -1h) -12 = -1 + -3h + (2 * 4 + -1h * 4) -12 = -1 + -3h + (8 + -4h) Reorder the terms: -12 = -1 + 8 + -3h + -4h Combine like terms: -1 + 8 = 7 -12 = 7 + -3h + -4h Combine like terms: -3h + -4h = -7h -12 = 7 + -7h Solving -12 = 7 + -7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '7h' to each side of the equation. -12 + 7h = 7 + -7h + 7h Combine like terms: -7h + 7h = 0 -12 + 7h = 7 + 0 -12 + 7h = 7 Add '12' to each side of the equation. -12 + 12 + 7h = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 7h = 7 + 12 7h = 7 + 12 Combine like terms: 7 + 12 = 19 7h = 19 Divide each side by '7'. h = 2.714285714 Simplifying h = 2.714285714
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