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Simplifying -4(1 + -3w) = w + 7 (1 * -4 + -3w * -4) = w + 7 (-4 + 12w) = w + 7 Reorder the terms: -4 + 12w = 7 + w Solving -4 + 12w = 7 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -4 + 12w + -1w = 7 + w + -1w Combine like terms: 12w + -1w = 11w -4 + 11w = 7 + w + -1w Combine like terms: w + -1w = 0 -4 + 11w = 7 + 0 -4 + 11w = 7 Add '4' to each side of the equation. -4 + 4 + 11w = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 11w = 7 + 4 11w = 7 + 4 Combine like terms: 7 + 4 = 11 11w = 11 Divide each side by '11'. w = 1 Simplifying w = 1
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