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Simplifying 4h + 3 = 5(3 + 2h) + 6 Reorder the terms: 3 + 4h = 5(3 + 2h) + 6 3 + 4h = (3 * 5 + 2h * 5) + 6 3 + 4h = (15 + 10h) + 6 Reorder the terms: 3 + 4h = 15 + 6 + 10h Combine like terms: 15 + 6 = 21 3 + 4h = 21 + 10h Solving 3 + 4h = 21 + 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. 3 + 4h + -10h = 21 + 10h + -10h Combine like terms: 4h + -10h = -6h 3 + -6h = 21 + 10h + -10h Combine like terms: 10h + -10h = 0 3 + -6h = 21 + 0 3 + -6h = 21 Add '-3' to each side of the equation. 3 + -3 + -6h = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -6h = 21 + -3 -6h = 21 + -3 Combine like terms: 21 + -3 = 18 -6h = 18 Divide each side by '-6'. h = -3 Simplifying h = -3
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