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Simplifying 4(h + 2) + 3 = 5(-2h + 3) + -2 Reorder the terms: 4(2 + h) + 3 = 5(-2h + 3) + -2 (2 * 4 + h * 4) + 3 = 5(-2h + 3) + -2 (8 + 4h) + 3 = 5(-2h + 3) + -2 Reorder the terms: 8 + 3 + 4h = 5(-2h + 3) + -2 Combine like terms: 8 + 3 = 11 11 + 4h = 5(-2h + 3) + -2 Reorder the terms: 11 + 4h = 5(3 + -2h) + -2 11 + 4h = (3 * 5 + -2h * 5) + -2 11 + 4h = (15 + -10h) + -2 Reorder the terms: 11 + 4h = 15 + -2 + -10h Combine like terms: 15 + -2 = 13 11 + 4h = 13 + -10h Solving 11 + 4h = 13 + -10h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '10h' to each side of the equation. 11 + 4h + 10h = 13 + -10h + 10h Combine like terms: 4h + 10h = 14h 11 + 14h = 13 + -10h + 10h Combine like terms: -10h + 10h = 0 11 + 14h = 13 + 0 11 + 14h = 13 Add '-11' to each side of the equation. 11 + -11 + 14h = 13 + -11 Combine like terms: 11 + -11 = 0 0 + 14h = 13 + -11 14h = 13 + -11 Combine like terms: 13 + -11 = 2 14h = 2 Divide each side by '14'. h = 0.1428571429 Simplifying h = 0.1428571429
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