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Simplifying 2(h + 1) = 5h + 7 Reorder the terms: 2(1 + h) = 5h + 7 (1 * 2 + h * 2) = 5h + 7 (2 + 2h) = 5h + 7 Reorder the terms: 2 + 2h = 7 + 5h Solving 2 + 2h = 7 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 2 + 2h + -5h = 7 + 5h + -5h Combine like terms: 2h + -5h = -3h 2 + -3h = 7 + 5h + -5h Combine like terms: 5h + -5h = 0 2 + -3h = 7 + 0 2 + -3h = 7 Add '-2' to each side of the equation. 2 + -2 + -3h = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -3h = 7 + -2 -3h = 7 + -2 Combine like terms: 7 + -2 = 5 -3h = 5 Divide each side by '-3'. h = -1.666666667 Simplifying h = -1.666666667
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