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Simplifying 2(h + -3) + 2 = 3h + 14 + h Reorder the terms: 2(-3 + h) + 2 = 3h + 14 + h (-3 * 2 + h * 2) + 2 = 3h + 14 + h (-6 + 2h) + 2 = 3h + 14 + h Reorder the terms: -6 + 2 + 2h = 3h + 14 + h Combine like terms: -6 + 2 = -4 -4 + 2h = 3h + 14 + h Reorder the terms: -4 + 2h = 14 + 3h + h Combine like terms: 3h + h = 4h -4 + 2h = 14 + 4h Solving -4 + 2h = 14 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. -4 + 2h + -4h = 14 + 4h + -4h Combine like terms: 2h + -4h = -2h -4 + -2h = 14 + 4h + -4h Combine like terms: 4h + -4h = 0 -4 + -2h = 14 + 0 -4 + -2h = 14 Add '4' to each side of the equation. -4 + 4 + -2h = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -2h = 14 + 4 -2h = 14 + 4 Combine like terms: 14 + 4 = 18 -2h = 18 Divide each side by '-2'. h = -9 Simplifying h = -9
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