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