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Simplifying 4(w + -9) = w + 3 Reorder the terms: 4(-9 + w) = w + 3 (-9 * 4 + w * 4) = w + 3 (-36 + 4w) = w + 3 Reorder the terms: -36 + 4w = 3 + w Solving -36 + 4w = 3 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -36 + 4w + -1w = 3 + w + -1w Combine like terms: 4w + -1w = 3w -36 + 3w = 3 + w + -1w Combine like terms: w + -1w = 0 -36 + 3w = 3 + 0 -36 + 3w = 3 Add '36' to each side of the equation. -36 + 36 + 3w = 3 + 36 Combine like terms: -36 + 36 = 0 0 + 3w = 3 + 36 3w = 3 + 36 Combine like terms: 3 + 36 = 39 3w = 39 Divide each side by '3'. w = 13 Simplifying w = 13
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