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Simplifying 40h + -1(24 + -1(6h + 8) + -1(5 + -2h)) = 3 + -1(8h + -12) Reorder the terms: 40h + -1(24 + -1(8 + 6h) + -1(5 + -2h)) = 3 + -1(8h + -12) 40h + -1(24 + (8 * -1 + 6h * -1) + -1(5 + -2h)) = 3 + -1(8h + -12) 40h + -1(24 + (-8 + -6h) + -1(5 + -2h)) = 3 + -1(8h + -12) 40h + -1(24 + -8 + -6h + (5 * -1 + -2h * -1)) = 3 + -1(8h + -12) 40h + -1(24 + -8 + -6h + (-5 + 2h)) = 3 + -1(8h + -12) Reorder the terms: 40h + -1(24 + -8 + -5 + -6h + 2h) = 3 + -1(8h + -12) Combine like terms: 24 + -8 = 16 40h + -1(16 + -5 + -6h + 2h) = 3 + -1(8h + -12) Combine like terms: 16 + -5 = 11 40h + -1(11 + -6h + 2h) = 3 + -1(8h + -12) Combine like terms: -6h + 2h = -4h 40h + -1(11 + -4h) = 3 + -1(8h + -12) 40h + (11 * -1 + -4h * -1) = 3 + -1(8h + -12) 40h + (-11 + 4h) = 3 + -1(8h + -12) Reorder the terms: -11 + 40h + 4h = 3 + -1(8h + -12) Combine like terms: 40h + 4h = 44h -11 + 44h = 3 + -1(8h + -12) Reorder the terms: -11 + 44h = 3 + -1(-12 + 8h) -11 + 44h = 3 + (-12 * -1 + 8h * -1) -11 + 44h = 3 + (12 + -8h) Combine like terms: 3 + 12 = 15 -11 + 44h = 15 + -8h Solving -11 + 44h = 15 + -8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '8h' to each side of the equation. -11 + 44h + 8h = 15 + -8h + 8h Combine like terms: 44h + 8h = 52h -11 + 52h = 15 + -8h + 8h Combine like terms: -8h + 8h = 0 -11 + 52h = 15 + 0 -11 + 52h = 15 Add '11' to each side of the equation. -11 + 11 + 52h = 15 + 11 Combine like terms: -11 + 11 = 0 0 + 52h = 15 + 11 52h = 15 + 11 Combine like terms: 15 + 11 = 26 52h = 26 Divide each side by '52'. h = 0.5 Simplifying h = 0.5
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