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Simplifying -42 = 4(w + -99) + 2 Reorder the terms: -42 = 4(-99 + w) + 2 -42 = (-99 * 4 + w * 4) + 2 -42 = (-396 + 4w) + 2 Reorder the terms: -42 = -396 + 2 + 4w Combine like terms: -396 + 2 = -394 -42 = -394 + 4w Solving -42 = -394 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -42 + -4w = -394 + 4w + -4w Combine like terms: 4w + -4w = 0 -42 + -4w = -394 + 0 -42 + -4w = -394 Add '42' to each side of the equation. -42 + 42 + -4w = -394 + 42 Combine like terms: -42 + 42 = 0 0 + -4w = -394 + 42 -4w = -394 + 42 Combine like terms: -394 + 42 = -352 -4w = -352 Divide each side by '-4'. w = 88 Simplifying w = 88
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