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Simplifying 4 + 6(w + 3) = 4(w + -3) Reorder the terms: 4 + 6(3 + w) = 4(w + -3) 4 + (3 * 6 + w * 6) = 4(w + -3) 4 + (18 + 6w) = 4(w + -3) Combine like terms: 4 + 18 = 22 22 + 6w = 4(w + -3) Reorder the terms: 22 + 6w = 4(-3 + w) 22 + 6w = (-3 * 4 + w * 4) 22 + 6w = (-12 + 4w) Solving 22 + 6w = -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. 22 + 6w + -4w = -12 + 4w + -4w Combine like terms: 6w + -4w = 2w 22 + 2w = -12 + 4w + -4w Combine like terms: 4w + -4w = 0 22 + 2w = -12 + 0 22 + 2w = -12 Add '-22' to each side of the equation. 22 + -22 + 2w = -12 + -22 Combine like terms: 22 + -22 = 0 0 + 2w = -12 + -22 2w = -12 + -22 Combine like terms: -12 + -22 = -34 2w = -34 Divide each side by '2'. w = -17 Simplifying w = -17
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