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Simplifying 2hl + 2lw + 2hw = 160 Reorder the terms: 2hl + 2hw + 2lw = 160 Solving 2hl + 2hw + 2lw = 160 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2lw' to each side of the equation. 2hl + 2hw + 2lw + -2lw = 160 + -2lw Combine like terms: 2lw + -2lw = 0 2hl + 2hw + 0 = 160 + -2lw 2hl + 2hw = 160 + -2lw Reorder the terms: -160 + 2hl + 2hw + 2lw = 160 + -2lw + -160 + 2lw Reorder the terms: -160 + 2hl + 2hw + 2lw = 160 + -160 + -2lw + 2lw Combine like terms: 160 + -160 = 0 -160 + 2hl + 2hw + 2lw = 0 + -2lw + 2lw -160 + 2hl + 2hw + 2lw = -2lw + 2lw Combine like terms: -2lw + 2lw = 0 -160 + 2hl + 2hw + 2lw = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-80 + hl + hw + lw) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-80 + hl + hw + lw)' equal to zero and attempt to solve: Simplifying -80 + hl + hw + lw = 0 Solving -80 + hl + hw + lw = 0 Move all terms containing h to the left, all other terms to the right. Add '80' to each side of the equation. -80 + hl + hw + 80 + lw = 0 + 80 Reorder the terms: -80 + 80 + hl + hw + lw = 0 + 80 Combine like terms: -80 + 80 = 0 0 + hl + hw + lw = 0 + 80 hl + hw + lw = 0 + 80 Combine like terms: 0 + 80 = 80 hl + hw + lw = 80 Add '-1lw' to each side of the equation. hl + hw + lw + -1lw = 80 + -1lw Combine like terms: lw + -1lw = 0 hl + hw + 0 = 80 + -1lw hl + hw = 80 + -1lw The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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