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Simplifying 12 + -7(h + 6) + 8h = 14 + -8 Reorder the terms: 12 + -7(6 + h) + 8h = 14 + -8 12 + (6 * -7 + h * -7) + 8h = 14 + -8 12 + (-42 + -7h) + 8h = 14 + -8 Combine like terms: 12 + -42 = -30 -30 + -7h + 8h = 14 + -8 Combine like terms: -7h + 8h = 1h -30 + 1h = 14 + -8 Combine like terms: 14 + -8 = 6 -30 + 1h = 6 Solving -30 + 1h = 6 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1h = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 1h = 6 + 30 1h = 6 + 30 Combine like terms: 6 + 30 = 36 1h = 36 Divide each side by '1'. h = 36 Simplifying h = 36
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