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Simplifying (W + -3)(w + -4) = (w + -8)(w + 6) Reorder the terms: (-3 + W)(w + -4) = (w + -8)(w + 6) Reorder the terms: (-3 + W)(-4 + w) = (w + -8)(w + 6) Multiply (-3 + W) * (-4 + w) (-3(-4 + w) + W(-4 + w)) = (w + -8)(w + 6) ((-4 * -3 + w * -3) + W(-4 + w)) = (w + -8)(w + 6) ((12 + -3w) + W(-4 + w)) = (w + -8)(w + 6) (12 + -3w + (-4 * W + w * W)) = (w + -8)(w + 6) (12 + -3w + (-4W + wW)) = (w + -8)(w + 6) Reorder the terms: (12 + -4W + -3w + wW) = (w + -8)(w + 6) (12 + -4W + -3w + wW) = (w + -8)(w + 6) Reorder the terms: 12 + -4W + -3w + wW = (-8 + w)(w + 6) Reorder the terms: 12 + -4W + -3w + wW = (-8 + w)(6 + w) Multiply (-8 + w) * (6 + w) 12 + -4W + -3w + wW = (-8(6 + w) + w(6 + w)) 12 + -4W + -3w + wW = ((6 * -8 + w * -8) + w(6 + w)) 12 + -4W + -3w + wW = ((-48 + -8w) + w(6 + w)) 12 + -4W + -3w + wW = (-48 + -8w + (6 * w + w * w)) 12 + -4W + -3w + wW = (-48 + -8w + (6w + w2)) Combine like terms: -8w + 6w = -2w 12 + -4W + -3w + wW = (-48 + -2w + w2) Solving 12 + -4W + -3w + wW = -48 + -2w + w2 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4W + -3w + -12 + wW = -48 + -2w + -12 + w2 Reorder the terms: 12 + -12 + -4W + -3w + wW = -48 + -2w + -12 + w2 Combine like terms: 12 + -12 = 0 0 + -4W + -3w + wW = -48 + -2w + -12 + w2 -4W + -3w + wW = -48 + -2w + -12 + w2 Reorder the terms: -4W + -3w + wW = -48 + -12 + -2w + w2 Combine like terms: -48 + -12 = -60 -4W + -3w + wW = -60 + -2w + w2 Add '3w' to each side of the equation. -4W + -3w + 3w + wW = -60 + -2w + 3w + w2 Combine like terms: -3w + 3w = 0 -4W + 0 + wW = -60 + -2w + 3w + w2 -4W + wW = -60 + -2w + 3w + w2 Combine like terms: -2w + 3w = 1w -4W + wW = -60 + 1w + w2 Reorder the terms: 60 + -4W + -1w + wW + -1w2 = -60 + 1w + w2 + 60 + -1w + -1w2 Reorder the terms: 60 + -4W + -1w + wW + -1w2 = -60 + 60 + 1w + -1w + w2 + -1w2 Combine like terms: -60 + 60 = 0 60 + -4W + -1w + wW + -1w2 = 0 + 1w + -1w + w2 + -1w2 60 + -4W + -1w + wW + -1w2 = 1w + -1w + w2 + -1w2 Combine like terms: 1w + -1w = 0 60 + -4W + -1w + wW + -1w2 = 0 + w2 + -1w2 60 + -4W + -1w + wW + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 60 + -4W + -1w + wW + -1w2 = 0 The solution to this equation could not be determined.
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