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Simplifying 460 = 2(6)(8) + 2(6)(h) + 2(8)(h) Multiply 2 * 6 460 = 12 * 8 + 2(6)(h) + 2(8)(h) Multiply 12 * 8 460 = 96 + 2(6)(h) + 2(8)(h) Multiply 2 * 6 460 = 96 + 12h + 2(8)(h) Multiply 2 * 8 460 = 96 + 12h + 16h Combine like terms: 12h + 16h = 28h 460 = 96 + 28h Solving 460 = 96 + 28h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-28h' to each side of the equation. 460 + -28h = 96 + 28h + -28h Combine like terms: 28h + -28h = 0 460 + -28h = 96 + 0 460 + -28h = 96 Add '-460' to each side of the equation. 460 + -460 + -28h = 96 + -460 Combine like terms: 460 + -460 = 0 0 + -28h = 96 + -460 -28h = 96 + -460 Combine like terms: 96 + -460 = -364 -28h = -364 Divide each side by '-28'. h = 13 Simplifying h = 13
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