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Simplifying 4(w + -2) = w + 1 Reorder the terms: 4(-2 + w) = w + 1 (-2 * 4 + w * 4) = w + 1 (-8 + 4w) = w + 1 Reorder the terms: -8 + 4w = 1 + w Solving -8 + 4w = 1 + 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. -8 + 4w + -1w = 1 + w + -1w Combine like terms: 4w + -1w = 3w -8 + 3w = 1 + w + -1w Combine like terms: w + -1w = 0 -8 + 3w = 1 + 0 -8 + 3w = 1 Add '8' to each side of the equation. -8 + 8 + 3w = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = 1 + 8 3w = 1 + 8 Combine like terms: 1 + 8 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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