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Simplifying 2HL + 2WH + 2LW = 192 Solving 2HL + 2HW + 2LW = 192 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 = 192 + -2LW Combine like terms: 2LW + -2LW = 0 2HL + 2HW + 0 = 192 + -2LW 2HL + 2HW = 192 + -2LW Reorder the terms: -192 + 2HL + 2HW + 2LW = 192 + -2LW + -192 + 2LW Reorder the terms: -192 + 2HL + 2HW + 2LW = 192 + -192 + -2LW + 2LW Combine like terms: 192 + -192 = 0 -192 + 2HL + 2HW + 2LW = 0 + -2LW + 2LW -192 + 2HL + 2HW + 2LW = -2LW + 2LW Combine like terms: -2LW + 2LW = 0 -192 + 2HL + 2HW + 2LW = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-96 + HL + HW + LW) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-96 + HL + HW + LW)' equal to zero and attempt to solve: Simplifying -96 + HL + HW + LW = 0 Solving -96 + HL + HW + LW = 0 Move all terms containing H to the left, all other terms to the right. Add '96' to each side of the equation. -96 + HL + HW + 96 + LW = 0 + 96 Reorder the terms: -96 + 96 + HL + HW + LW = 0 + 96 Combine like terms: -96 + 96 = 0 0 + HL + HW + LW = 0 + 96 HL + HW + LW = 0 + 96 Combine like terms: 0 + 96 = 96 HL + HW + LW = 96 Add '-1LW' to each side of the equation. HL + HW + LW + -1LW = 96 + -1LW Combine like terms: LW + -1LW = 0 HL + HW + 0 = 96 + -1LW HL + HW = 96 + -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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