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Simplifying 2(w + 5)(w + -2) = d + 112 Reorder the terms: 2(5 + w)(w + -2) = d + 112 Reorder the terms: 2(5 + w)(-2 + w) = d + 112 Multiply (5 + w) * (-2 + w) 2(5(-2 + w) + w(-2 + w)) = d + 112 2((-2 * 5 + w * 5) + w(-2 + w)) = d + 112 2((-10 + 5w) + w(-2 + w)) = d + 112 2(-10 + 5w + (-2 * w + w * w)) = d + 112 2(-10 + 5w + (-2w + w2)) = d + 112 Combine like terms: 5w + -2w = 3w 2(-10 + 3w + w2) = d + 112 (-10 * 2 + 3w * 2 + w2 * 2) = d + 112 (-20 + 6w + 2w2) = d + 112 Reorder the terms: -20 + 6w + 2w2 = 112 + d Solving -20 + 6w + 2w2 = 112 + d Solving for variable 'w'. Reorder the terms: -20 + -112 + -1d + 6w + 2w2 = 112 + d + -112 + -1d Combine like terms: -20 + -112 = -132 -132 + -1d + 6w + 2w2 = 112 + d + -112 + -1d Reorder the terms: -132 + -1d + 6w + 2w2 = 112 + -112 + d + -1d Combine like terms: 112 + -112 = 0 -132 + -1d + 6w + 2w2 = 0 + d + -1d -132 + -1d + 6w + 2w2 = d + -1d Combine like terms: d + -1d = 0 -132 + -1d + 6w + 2w2 = 0 The solution to this equation could not be determined.
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