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Simplifying 4(w + 4) = 3w + -6 Reorder the terms: 4(4 + w) = 3w + -6 (4 * 4 + w * 4) = 3w + -6 (16 + 4w) = 3w + -6 Reorder the terms: 16 + 4w = -6 + 3w Solving 16 + 4w = -6 + 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. 16 + 4w + -3w = -6 + 3w + -3w Combine like terms: 4w + -3w = 1w 16 + 1w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 16 + 1w = -6 + 0 16 + 1w = -6 Add '-16' to each side of the equation. 16 + -16 + 1w = -6 + -16 Combine like terms: 16 + -16 = 0 0 + 1w = -6 + -16 1w = -6 + -16 Combine like terms: -6 + -16 = -22 1w = -22 Divide each side by '1'. w = -22 Simplifying w = -22
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