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Simplifying 2(3h + -1) + 4h = 10(2 + -3h) + 8h Reorder the terms: 2(-1 + 3h) + 4h = 10(2 + -3h) + 8h (-1 * 2 + 3h * 2) + 4h = 10(2 + -3h) + 8h (-2 + 6h) + 4h = 10(2 + -3h) + 8h Combine like terms: 6h + 4h = 10h -2 + 10h = 10(2 + -3h) + 8h -2 + 10h = (2 * 10 + -3h * 10) + 8h -2 + 10h = (20 + -30h) + 8h Combine like terms: -30h + 8h = -22h -2 + 10h = 20 + -22h Solving -2 + 10h = 20 + -22h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '22h' to each side of the equation. -2 + 10h + 22h = 20 + -22h + 22h Combine like terms: 10h + 22h = 32h -2 + 32h = 20 + -22h + 22h Combine like terms: -22h + 22h = 0 -2 + 32h = 20 + 0 -2 + 32h = 20 Add '2' to each side of the equation. -2 + 2 + 32h = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 32h = 20 + 2 32h = 20 + 2 Combine like terms: 20 + 2 = 22 32h = 22 Divide each side by '32'. h = 0.6875 Simplifying h = 0.6875
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