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Simplifying 5h + -7 = 2(h + 14) + -4h Reorder the terms: -7 + 5h = 2(h + 14) + -4h Reorder the terms: -7 + 5h = 2(14 + h) + -4h -7 + 5h = (14 * 2 + h * 2) + -4h -7 + 5h = (28 + 2h) + -4h Combine like terms: 2h + -4h = -2h -7 + 5h = 28 + -2h Solving -7 + 5h = 28 + -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 = 28 + -2h + 2h Combine like terms: 5h + 2h = 7h -7 + 7h = 28 + -2h + 2h Combine like terms: -2h + 2h = 0 -7 + 7h = 28 + 0 -7 + 7h = 28 Add '7' to each side of the equation. -7 + 7 + 7h = 28 + 7 Combine like terms: -7 + 7 = 0 0 + 7h = 28 + 7 7h = 28 + 7 Combine like terms: 28 + 7 = 35 7h = 35 Divide each side by '7'. h = 5 Simplifying h = 5
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