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