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Simplifying 40h + -1[24 + -1(6h + 8) + -1(5 + -2h)] = 3(-8h + -12) Reorder the terms: 40h + -1[24 + -1(8 + 6h) + -1(5 + -2h)] = 3(-8h + -12) 40h + -1[24 + (8 * -1 + 6h * -1) + -1(5 + -2h)] = 3(-8h + -12) 40h + -1[24 + (-8 + -6h) + -1(5 + -2h)] = 3(-8h + -12) 40h + -1[24 + -8 + -6h + (5 * -1 + -2h * -1)] = 3(-8h + -12) 40h + -1[24 + -8 + -6h + (-5 + 2h)] = 3(-8h + -12) Reorder the terms: 40h + -1[24 + -8 + -5 + -6h + 2h] = 3(-8h + -12) Combine like terms: 24 + -8 = 16 40h + -1[16 + -5 + -6h + 2h] = 3(-8h + -12) Combine like terms: 16 + -5 = 11 40h + -1[11 + -6h + 2h] = 3(-8h + -12) Combine like terms: -6h + 2h = -4h 40h + -1[11 + -4h] = 3(-8h + -12) 40h + [11 * -1 + -4h * -1] = 3(-8h + -12) 40h + [-11 + 4h] = 3(-8h + -12) Reorder the terms: -11 + 40h + 4h = 3(-8h + -12) Combine like terms: 40h + 4h = 44h -11 + 44h = 3(-8h + -12) Reorder the terms: -11 + 44h = 3(-12 + -8h) -11 + 44h = (-12 * 3 + -8h * 3) -11 + 44h = (-36 + -24h) Solving -11 + 44h = -36 + -24h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '24h' to each side of the equation. -11 + 44h + 24h = -36 + -24h + 24h Combine like terms: 44h + 24h = 68h -11 + 68h = -36 + -24h + 24h Combine like terms: -24h + 24h = 0 -11 + 68h = -36 + 0 -11 + 68h = -36 Add '11' to each side of the equation. -11 + 11 + 68h = -36 + 11 Combine like terms: -11 + 11 = 0 0 + 68h = -36 + 11 68h = -36 + 11 Combine like terms: -36 + 11 = -25 68h = -25 Divide each side by '68'. h = -0.3676470588 Simplifying h = -0.3676470588
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