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Simplifying 2(h + 1.4) = 5(h + 3.1) + (h + 1.1) Reorder the terms: 2(1.4 + h) = 5(h + 3.1) + (h + 1.1) (1.4 * 2 + h * 2) = 5(h + 3.1) + (h + 1.1) (2.8 + 2h) = 5(h + 3.1) + (h + 1.1) Reorder the terms: 2.8 + 2h = 5(3.1 + h) + (h + 1.1) 2.8 + 2h = (3.1 * 5 + h * 5) + (h + 1.1) 2.8 + 2h = (15.5 + 5h) + (h + 1.1) Reorder the terms: 2.8 + 2h = 15.5 + 5h + (1.1 + h) Remove parenthesis around (1.1 + h) 2.8 + 2h = 15.5 + 5h + 1.1 + h Reorder the terms: 2.8 + 2h = 15.5 + 1.1 + 5h + h Combine like terms: 15.5 + 1.1 = 16.6 2.8 + 2h = 16.6 + 5h + h Combine like terms: 5h + h = 6h 2.8 + 2h = 16.6 + 6h Solving 2.8 + 2h = 16.6 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. 2.8 + 2h + -6h = 16.6 + 6h + -6h Combine like terms: 2h + -6h = -4h 2.8 + -4h = 16.6 + 6h + -6h Combine like terms: 6h + -6h = 0 2.8 + -4h = 16.6 + 0 2.8 + -4h = 16.6 Add '-2.8' to each side of the equation. 2.8 + -2.8 + -4h = 16.6 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -4h = 16.6 + -2.8 -4h = 16.6 + -2.8 Combine like terms: 16.6 + -2.8 = 13.8 -4h = 13.8 Divide each side by '-4'. h = -3.45 Simplifying h = -3.45
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