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Simplifying 4(w + -4) + w = 4(w + -3) Reorder the terms: 4(-4 + w) + w = 4(w + -3) (-4 * 4 + w * 4) + w = 4(w + -3) (-16 + 4w) + w = 4(w + -3) Combine like terms: 4w + w = 5w -16 + 5w = 4(w + -3) Reorder the terms: -16 + 5w = 4(-3 + w) -16 + 5w = (-3 * 4 + w * 4) -16 + 5w = (-12 + 4w) Solving -16 + 5w = -12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -16 + 5w + -4w = -12 + 4w + -4w Combine like terms: 5w + -4w = 1w -16 + 1w = -12 + 4w + -4w Combine like terms: 4w + -4w = 0 -16 + 1w = -12 + 0 -16 + 1w = -12 Add '16' to each side of the equation. -16 + 16 + 1w = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 1w = -12 + 16 1w = -12 + 16 Combine like terms: -12 + 16 = 4 1w = 4 Divide each side by '1'. w = 4 Simplifying w = 4
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