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Simplifying a + 234 = 2(w + 3)(w + -1) Reorder the terms: 234 + a = 2(w + 3)(w + -1) Reorder the terms: 234 + a = 2(3 + w)(w + -1) Reorder the terms: 234 + a = 2(3 + w)(-1 + w) Multiply (3 + w) * (-1 + w) 234 + a = 2(3(-1 + w) + w(-1 + w)) 234 + a = 2((-1 * 3 + w * 3) + w(-1 + w)) 234 + a = 2((-3 + 3w) + w(-1 + w)) 234 + a = 2(-3 + 3w + (-1 * w + w * w)) 234 + a = 2(-3 + 3w + (-1w + w2)) Combine like terms: 3w + -1w = 2w 234 + a = 2(-3 + 2w + w2) 234 + a = (-3 * 2 + 2w * 2 + w2 * 2) 234 + a = (-6 + 4w + 2w2) Solving 234 + a = -6 + 4w + 2w2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-234' to each side of the equation. 234 + -234 + a = -6 + 4w + -234 + 2w2 Combine like terms: 234 + -234 = 0 0 + a = -6 + 4w + -234 + 2w2 a = -6 + 4w + -234 + 2w2 Reorder the terms: a = -6 + -234 + 4w + 2w2 Combine like terms: -6 + -234 = -240 a = -240 + 4w + 2w2 Simplifying a = -240 + 4w + 2w2
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