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Simplifying 4(w + -5) + 2 = w + 3 Reorder the terms: 4(-5 + w) + 2 = w + 3 (-5 * 4 + w * 4) + 2 = w + 3 (-20 + 4w) + 2 = w + 3 Reorder the terms: -20 + 2 + 4w = w + 3 Combine like terms: -20 + 2 = -18 -18 + 4w = w + 3 Reorder the terms: -18 + 4w = 3 + w Solving -18 + 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. -18 + 4w + -1w = 3 + w + -1w Combine like terms: 4w + -1w = 3w -18 + 3w = 3 + w + -1w Combine like terms: w + -1w = 0 -18 + 3w = 3 + 0 -18 + 3w = 3 Add '18' to each side of the equation. -18 + 18 + 3w = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 3w = 3 + 18 3w = 3 + 18 Combine like terms: 3 + 18 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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