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Simplifying 72 = 2l(2w + 6) + 2w Reorder the terms: 72 = 2l(6 + 2w) + 2w 72 = (6 * 2l + 2w * 2l) + 2w 72 = (12l + 4lw) + 2w Solving 72 = 12l + 4lw + 2w Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-12l' to each side of the equation. 72 + -12l = 12l + 4lw + -12l + 2w Reorder the terms: 72 + -12l = 12l + -12l + 4lw + 2w Combine like terms: 12l + -12l = 0 72 + -12l = 0 + 4lw + 2w 72 + -12l = 4lw + 2w Add '-4lw' to each side of the equation. 72 + -12l + -4lw = 4lw + -4lw + 2w Combine like terms: 4lw + -4lw = 0 72 + -12l + -4lw = 0 + 2w 72 + -12l + -4lw = 2w Add '-72' to each side of the equation. 72 + -12l + -72 + -4lw = -72 + 2w Reorder the terms: 72 + -72 + -12l + -4lw = -72 + 2w Combine like terms: 72 + -72 = 0 0 + -12l + -4lw = -72 + 2w -12l + -4lw = -72 + 2w Reorder the terms: 72 + -12l + -4lw + -2w = -72 + 2w + 72 + -2w Reorder the terms: 72 + -12l + -4lw + -2w = -72 + 72 + 2w + -2w Combine like terms: -72 + 72 = 0 72 + -12l + -4lw + -2w = 0 + 2w + -2w 72 + -12l + -4lw + -2w = 2w + -2w Combine like terms: 2w + -2w = 0 72 + -12l + -4lw + -2w = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(36 + -6l + -2lw + -1w) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(36 + -6l + -2lw + -1w)' equal to zero and attempt to solve: Simplifying 36 + -6l + -2lw + -1w = 0 Solving 36 + -6l + -2lw + -1w = 0 Move all terms containing l to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -6l + -2lw + -36 + -1w = 0 + -36 Reorder the terms: 36 + -36 + -6l + -2lw + -1w = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -6l + -2lw + -1w = 0 + -36 -6l + -2lw + -1w = 0 + -36 Combine like terms: 0 + -36 = -36 -6l + -2lw + -1w = -36 Add 'w' to each side of the equation. -6l + -2lw + -1w + w = -36 + w Combine like terms: -1w + w = 0 -6l + -2lw + 0 = -36 + w -6l + -2lw = -36 + w 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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