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Simplifying 3(h + -5) + 2h = 2h + 15 Reorder the terms: 3(-5 + h) + 2h = 2h + 15 (-5 * 3 + h * 3) + 2h = 2h + 15 (-15 + 3h) + 2h = 2h + 15 Combine like terms: 3h + 2h = 5h -15 + 5h = 2h + 15 Reorder the terms: -15 + 5h = 15 + 2h Solving -15 + 5h = 15 + 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. -15 + 5h + -2h = 15 + 2h + -2h Combine like terms: 5h + -2h = 3h -15 + 3h = 15 + 2h + -2h Combine like terms: 2h + -2h = 0 -15 + 3h = 15 + 0 -15 + 3h = 15 Add '15' to each side of the equation. -15 + 15 + 3h = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 3h = 15 + 15 3h = 15 + 15 Combine like terms: 15 + 15 = 30 3h = 30 Divide each side by '3'. h = 10 Simplifying h = 10
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