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Simplifying 5h + -7 = 2(h + 1) + -8 Reorder the terms: -7 + 5h = 2(h + 1) + -8 Reorder the terms: -7 + 5h = 2(1 + h) + -8 -7 + 5h = (1 * 2 + h * 2) + -8 -7 + 5h = (2 + 2h) + -8 Reorder the terms: -7 + 5h = 2 + -8 + 2h Combine like terms: 2 + -8 = -6 -7 + 5h = -6 + 2h Solving -7 + 5h = -6 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. -7 + 5h + -2h = -6 + 2h + -2h Combine like terms: 5h + -2h = 3h -7 + 3h = -6 + 2h + -2h Combine like terms: 2h + -2h = 0 -7 + 3h = -6 + 0 -7 + 3h = -6 Add '7' to each side of the equation. -7 + 7 + 3h = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 3h = -6 + 7 3h = -6 + 7 Combine like terms: -6 + 7 = 1 3h = 1 Divide each side by '3'. h = 0.3333333333 Simplifying h = 0.3333333333
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