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Simplifying 12 + -7(h + 6) + 8 = 14 + -8 Reorder the terms: 12 + -7(6 + h) + 8 = 14 + -8 12 + (6 * -7 + h * -7) + 8 = 14 + -8 12 + (-42 + -7h) + 8 = 14 + -8 Reorder the terms: 12 + -42 + 8 + -7h = 14 + -8 Combine like terms: 12 + -42 = -30 -30 + 8 + -7h = 14 + -8 Combine like terms: -30 + 8 = -22 -22 + -7h = 14 + -8 Combine like terms: 14 + -8 = 6 -22 + -7h = 6 Solving -22 + -7h = 6 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -7h = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -7h = 6 + 22 -7h = 6 + 22 Combine like terms: 6 + 22 = 28 -7h = 28 Divide each side by '-7'. h = -4 Simplifying h = -4
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