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Simplifying 2(h + -3) = 3(4 + -1h) + 5 Reorder the terms: 2(-3 + h) = 3(4 + -1h) + 5 (-3 * 2 + h * 2) = 3(4 + -1h) + 5 (-6 + 2h) = 3(4 + -1h) + 5 -6 + 2h = (4 * 3 + -1h * 3) + 5 -6 + 2h = (12 + -3h) + 5 Reorder the terms: -6 + 2h = 12 + 5 + -3h Combine like terms: 12 + 5 = 17 -6 + 2h = 17 + -3h Solving -6 + 2h = 17 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. -6 + 2h + 3h = 17 + -3h + 3h Combine like terms: 2h + 3h = 5h -6 + 5h = 17 + -3h + 3h Combine like terms: -3h + 3h = 0 -6 + 5h = 17 + 0 -6 + 5h = 17 Add '6' to each side of the equation. -6 + 6 + 5h = 17 + 6 Combine like terms: -6 + 6 = 0 0 + 5h = 17 + 6 5h = 17 + 6 Combine like terms: 17 + 6 = 23 5h = 23 Divide each side by '5'. h = 4.6 Simplifying h = 4.6
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