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Simplifying 4(1 + -3w) = 9 + -7w (1 * 4 + -3w * 4) = 9 + -7w (4 + -12w) = 9 + -7w Solving 4 + -12w = 9 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 4 + -12w + 7w = 9 + -7w + 7w Combine like terms: -12w + 7w = -5w 4 + -5w = 9 + -7w + 7w Combine like terms: -7w + 7w = 0 4 + -5w = 9 + 0 4 + -5w = 9 Add '-4' to each side of the equation. 4 + -4 + -5w = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5w = 9 + -4 -5w = 9 + -4 Combine like terms: 9 + -4 = 5 -5w = 5 Divide each side by '-5'. w = -1 Simplifying w = -1
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