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Simplifying 4 + -1(3h + 2) = 1(5 + -7h) Reorder the terms: 4 + -1(2 + 3h) = 1(5 + -7h) 4 + (2 * -1 + 3h * -1) = 1(5 + -7h) 4 + (-2 + -3h) = 1(5 + -7h) Combine like terms: 4 + -2 = 2 2 + -3h = 1(5 + -7h) 2 + -3h = (5 * 1 + -7h * 1) 2 + -3h = (5 + -7h) Solving 2 + -3h = 5 + -7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '7h' to each side of the equation. 2 + -3h + 7h = 5 + -7h + 7h Combine like terms: -3h + 7h = 4h 2 + 4h = 5 + -7h + 7h Combine like terms: -7h + 7h = 0 2 + 4h = 5 + 0 2 + 4h = 5 Add '-2' to each side of the equation. 2 + -2 + 4h = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 4h = 5 + -2 4h = 5 + -2 Combine like terms: 5 + -2 = 3 4h = 3 Divide each side by '4'. h = 0.75 Simplifying h = 0.75
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