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Simplifying 4(h + 5) + 2w = 46 Reorder the terms: 4(5 + h) + 2w = 46 (5 * 4 + h * 4) + 2w = 46 (20 + 4h) + 2w = 46 Solving 20 + 4h + 2w = 46 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 4h + -20 + 2w = 46 + -20 Reorder the terms: 20 + -20 + 4h + 2w = 46 + -20 Combine like terms: 20 + -20 = 0 0 + 4h + 2w = 46 + -20 4h + 2w = 46 + -20 Combine like terms: 46 + -20 = 26 4h + 2w = 26 Add '-2w' to each side of the equation. 4h + 2w + -2w = 26 + -2w Combine like terms: 2w + -2w = 0 4h + 0 = 26 + -2w 4h = 26 + -2w Divide each side by '4'. h = 6.5 + -0.5w Simplifying h = 6.5 + -0.5w
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