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Simplifying 214 = 2l(w + 3) + 2w Reorder the terms: 214 = 2l(3 + w) + 2w 214 = (3 * 2l + w * 2l) + 2w 214 = (6l + 2lw) + 2w Solving 214 = 6l + 2lw + 2w Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6l' to each side of the equation. 214 + -6l = 6l + 2lw + -6l + 2w Reorder the terms: 214 + -6l = 6l + -6l + 2lw + 2w Combine like terms: 6l + -6l = 0 214 + -6l = 0 + 2lw + 2w 214 + -6l = 2lw + 2w Add '-2lw' to each side of the equation. 214 + -6l + -2lw = 2lw + -2lw + 2w Combine like terms: 2lw + -2lw = 0 214 + -6l + -2lw = 0 + 2w 214 + -6l + -2lw = 2w Add '-214' to each side of the equation. 214 + -6l + -214 + -2lw = -214 + 2w Reorder the terms: 214 + -214 + -6l + -2lw = -214 + 2w Combine like terms: 214 + -214 = 0 0 + -6l + -2lw = -214 + 2w -6l + -2lw = -214 + 2w Reorder the terms: 214 + -6l + -2lw + -2w = -214 + 2w + 214 + -2w Reorder the terms: 214 + -6l + -2lw + -2w = -214 + 214 + 2w + -2w Combine like terms: -214 + 214 = 0 214 + -6l + -2lw + -2w = 0 + 2w + -2w 214 + -6l + -2lw + -2w = 2w + -2w Combine like terms: 2w + -2w = 0 214 + -6l + -2lw + -2w = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(107 + -3l + -1lw + -1w) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(107 + -3l + -1lw + -1w)' equal to zero and attempt to solve: Simplifying 107 + -3l + -1lw + -1w = 0 Solving 107 + -3l + -1lw + -1w = 0 Move all terms containing l to the left, all other terms to the right. Add '-107' to each side of the equation. 107 + -3l + -1lw + -107 + -1w = 0 + -107 Reorder the terms: 107 + -107 + -3l + -1lw + -1w = 0 + -107 Combine like terms: 107 + -107 = 0 0 + -3l + -1lw + -1w = 0 + -107 -3l + -1lw + -1w = 0 + -107 Combine like terms: 0 + -107 = -107 -3l + -1lw + -1w = -107 Add 'w' to each side of the equation. -3l + -1lw + -1w + w = -107 + w Combine like terms: -1w + w = 0 -3l + -1lw + 0 = -107 + w -3l + -1lw = -107 + 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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