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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 = -9 -3h = -9 Divide each side by '-3'. h = 3 Simplifying h = 3
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