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Simplifying 5(w + -3) = w + 1 Reorder the terms: 5(-3 + w) = w + 1 (-3 * 5 + w * 5) = w + 1 (-15 + 5w) = w + 1 Reorder the terms: -15 + 5w = 1 + w Solving -15 + 5w = 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. -15 + 5w + -1w = 1 + w + -1w Combine like terms: 5w + -1w = 4w -15 + 4w = 1 + w + -1w Combine like terms: w + -1w = 0 -15 + 4w = 1 + 0 -15 + 4w = 1 Add '15' to each side of the equation. -15 + 15 + 4w = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 4w = 1 + 15 4w = 1 + 15 Combine like terms: 1 + 15 = 16 4w = 16 Divide each side by '4'. w = 4 Simplifying w = 4
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