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Simplifying 5(2h + -1) + -4h = 14 + -1(6h + -5) Reorder the terms: 5(-1 + 2h) + -4h = 14 + -1(6h + -5) (-1 * 5 + 2h * 5) + -4h = 14 + -1(6h + -5) (-5 + 10h) + -4h = 14 + -1(6h + -5) Combine like terms: 10h + -4h = 6h -5 + 6h = 14 + -1(6h + -5) Reorder the terms: -5 + 6h = 14 + -1(-5 + 6h) -5 + 6h = 14 + (-5 * -1 + 6h * -1) -5 + 6h = 14 + (5 + -6h) Combine like terms: 14 + 5 = 19 -5 + 6h = 19 + -6h Solving -5 + 6h = 19 + -6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '6h' to each side of the equation. -5 + 6h + 6h = 19 + -6h + 6h Combine like terms: 6h + 6h = 12h -5 + 12h = 19 + -6h + 6h Combine like terms: -6h + 6h = 0 -5 + 12h = 19 + 0 -5 + 12h = 19 Add '5' to each side of the equation. -5 + 5 + 12h = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 12h = 19 + 5 12h = 19 + 5 Combine like terms: 19 + 5 = 24 12h = 24 Divide each side by '12'. h = 2 Simplifying h = 2
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