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Simplifying 5h + -7 = 2(h + 4) Reorder the terms: -7 + 5h = 2(h + 4) Reorder the terms: -7 + 5h = 2(4 + h) -7 + 5h = (4 * 2 + h * 2) -7 + 5h = (8 + 2h) Solving -7 + 5h = 8 + 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 = 8 + 2h + -2h Combine like terms: 5h + -2h = 3h -7 + 3h = 8 + 2h + -2h Combine like terms: 2h + -2h = 0 -7 + 3h = 8 + 0 -7 + 3h = 8 Add '7' to each side of the equation. -7 + 7 + 3h = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3h = 8 + 7 3h = 8 + 7 Combine like terms: 8 + 7 = 15 3h = 15 Divide each side by '3'. h = 5 Simplifying h = 5
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