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Simplifying 3(2h + -5) + 4(3h + 2) = 11 Reorder the terms: 3(-5 + 2h) + 4(3h + 2) = 11 (-5 * 3 + 2h * 3) + 4(3h + 2) = 11 (-15 + 6h) + 4(3h + 2) = 11 Reorder the terms: -15 + 6h + 4(2 + 3h) = 11 -15 + 6h + (2 * 4 + 3h * 4) = 11 -15 + 6h + (8 + 12h) = 11 Reorder the terms: -15 + 8 + 6h + 12h = 11 Combine like terms: -15 + 8 = -7 -7 + 6h + 12h = 11 Combine like terms: 6h + 12h = 18h -7 + 18h = 11 Solving -7 + 18h = 11 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 18h = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 18h = 11 + 7 18h = 11 + 7 Combine like terms: 11 + 7 = 18 18h = 18 Divide each side by '18'. h = 1 Simplifying h = 1
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