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Simplifying 4(2h + 2) + 24h = 4(h + -12) Reorder the terms: 4(2 + 2h) + 24h = 4(h + -12) (2 * 4 + 2h * 4) + 24h = 4(h + -12) (8 + 8h) + 24h = 4(h + -12) Combine like terms: 8h + 24h = 32h 8 + 32h = 4(h + -12) Reorder the terms: 8 + 32h = 4(-12 + h) 8 + 32h = (-12 * 4 + h * 4) 8 + 32h = (-48 + 4h) Solving 8 + 32h = -48 + 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. 8 + 32h + -4h = -48 + 4h + -4h Combine like terms: 32h + -4h = 28h 8 + 28h = -48 + 4h + -4h Combine like terms: 4h + -4h = 0 8 + 28h = -48 + 0 8 + 28h = -48 Add '-8' to each side of the equation. 8 + -8 + 28h = -48 + -8 Combine like terms: 8 + -8 = 0 0 + 28h = -48 + -8 28h = -48 + -8 Combine like terms: -48 + -8 = -56 28h = -56 Divide each side by '28'. h = -2 Simplifying h = -2
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