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Simplifying 5(h + 2) = 3 + -1(4 + -1h) Reorder the terms: 5(2 + h) = 3 + -1(4 + -1h) (2 * 5 + h * 5) = 3 + -1(4 + -1h) (10 + 5h) = 3 + -1(4 + -1h) 10 + 5h = 3 + (4 * -1 + -1h * -1) 10 + 5h = 3 + (-4 + 1h) Combine like terms: 3 + -4 = -1 10 + 5h = -1 + 1h Solving 10 + 5h = -1 + 1h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. 10 + 5h + -1h = -1 + 1h + -1h Combine like terms: 5h + -1h = 4h 10 + 4h = -1 + 1h + -1h Combine like terms: 1h + -1h = 0 10 + 4h = -1 + 0 10 + 4h = -1 Add '-10' to each side of the equation. 10 + -10 + 4h = -1 + -10 Combine like terms: 10 + -10 = 0 0 + 4h = -1 + -10 4h = -1 + -10 Combine like terms: -1 + -10 = -11 4h = -11 Divide each side by '4'. h = -2.75 Simplifying h = -2.75
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