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Simplifying -4(w + 3) = 2w + -4 + 4(3w + 1) Reorder the terms: -4(3 + w) = 2w + -4 + 4(3w + 1) (3 * -4 + w * -4) = 2w + -4 + 4(3w + 1) (-12 + -4w) = 2w + -4 + 4(3w + 1) Reorder the terms: -12 + -4w = 2w + -4 + 4(1 + 3w) -12 + -4w = 2w + -4 + (1 * 4 + 3w * 4) -12 + -4w = 2w + -4 + (4 + 12w) Reorder the terms: -12 + -4w = -4 + 4 + 2w + 12w Combine like terms: -4 + 4 = 0 -12 + -4w = 0 + 2w + 12w -12 + -4w = 2w + 12w Combine like terms: 2w + 12w = 14w -12 + -4w = 14w Solving -12 + -4w = 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -12 + -4w + -14w = 14w + -14w Combine like terms: -4w + -14w = -18w -12 + -18w = 14w + -14w Combine like terms: 14w + -14w = 0 -12 + -18w = 0 Add '12' to each side of the equation. -12 + 12 + -18w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -18w = 0 + 12 -18w = 0 + 12 Combine like terms: 0 + 12 = 12 -18w = 12 Divide each side by '-18'. w = -0.6666666667 Simplifying w = -0.6666666667
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