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Simplifying 40h + -24 + -1(6h + 8) + -1(5 + -2h) = 3 + -1(8h + -12) Reorder the terms: 40h + -24 + -1(8 + 6h) + -1(5 + -2h) = 3 + -1(8h + -12) 40h + -24 + (8 * -1 + 6h * -1) + -1(5 + -2h) = 3 + -1(8h + -12) 40h + -24 + (-8 + -6h) + -1(5 + -2h) = 3 + -1(8h + -12) 40h + -24 + -8 + -6h + (5 * -1 + -2h * -1) = 3 + -1(8h + -12) 40h + -24 + -8 + -6h + (-5 + 2h) = 3 + -1(8h + -12) Reorder the terms: -24 + -8 + -5 + 40h + -6h + 2h = 3 + -1(8h + -12) Combine like terms: -24 + -8 = -32 -32 + -5 + 40h + -6h + 2h = 3 + -1(8h + -12) Combine like terms: -32 + -5 = -37 -37 + 40h + -6h + 2h = 3 + -1(8h + -12) Combine like terms: 40h + -6h = 34h -37 + 34h + 2h = 3 + -1(8h + -12) Combine like terms: 34h + 2h = 36h -37 + 36h = 3 + -1(8h + -12) Reorder the terms: -37 + 36h = 3 + -1(-12 + 8h) -37 + 36h = 3 + (-12 * -1 + 8h * -1) -37 + 36h = 3 + (12 + -8h) Combine like terms: 3 + 12 = 15 -37 + 36h = 15 + -8h Solving -37 + 36h = 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. -37 + 36h + 8h = 15 + -8h + 8h Combine like terms: 36h + 8h = 44h -37 + 44h = 15 + -8h + 8h Combine like terms: -8h + 8h = 0 -37 + 44h = 15 + 0 -37 + 44h = 15 Add '37' to each side of the equation. -37 + 37 + 44h = 15 + 37 Combine like terms: -37 + 37 = 0 0 + 44h = 15 + 37 44h = 15 + 37 Combine like terms: 15 + 37 = 52 44h = 52 Divide each side by '44'. h = 1.181818182 Simplifying h = 1.181818182
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