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Simplifying -3(w + 1) = -3(4w + -2) + 3 Reorder the terms: -3(1 + w) = -3(4w + -2) + 3 (1 * -3 + w * -3) = -3(4w + -2) + 3 (-3 + -3w) = -3(4w + -2) + 3 Reorder the terms: -3 + -3w = -3(-2 + 4w) + 3 -3 + -3w = (-2 * -3 + 4w * -3) + 3 -3 + -3w = (6 + -12w) + 3 Reorder the terms: -3 + -3w = 6 + 3 + -12w Combine like terms: 6 + 3 = 9 -3 + -3w = 9 + -12w Solving -3 + -3w = 9 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -3 + -3w + 12w = 9 + -12w + 12w Combine like terms: -3w + 12w = 9w -3 + 9w = 9 + -12w + 12w Combine like terms: -12w + 12w = 0 -3 + 9w = 9 + 0 -3 + 9w = 9 Add '3' to each side of the equation. -3 + 3 + 9w = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 9w = 9 + 3 9w = 9 + 3 Combine like terms: 9 + 3 = 12 9w = 12 Divide each side by '9'. w = 1.333333333 Simplifying w = 1.333333333
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