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Simplifying 4(w + 1) + -3 = 5(w + -3) Reorder the terms: 4(1 + w) + -3 = 5(w + -3) (1 * 4 + w * 4) + -3 = 5(w + -3) (4 + 4w) + -3 = 5(w + -3) Reorder the terms: 4 + -3 + 4w = 5(w + -3) Combine like terms: 4 + -3 = 1 1 + 4w = 5(w + -3) Reorder the terms: 1 + 4w = 5(-3 + w) 1 + 4w = (-3 * 5 + w * 5) 1 + 4w = (-15 + 5w) Solving 1 + 4w = -15 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 1 + 4w + -5w = -15 + 5w + -5w Combine like terms: 4w + -5w = -1w 1 + -1w = -15 + 5w + -5w Combine like terms: 5w + -5w = 0 1 + -1w = -15 + 0 1 + -1w = -15 Add '-1' to each side of the equation. 1 + -1 + -1w = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = -15 + -1 -1w = -15 + -1 Combine like terms: -15 + -1 = -16 -1w = -16 Divide each side by '-1'. w = 16 Simplifying w = 16
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