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Simplifying 11 = -7w + 4(w + -4) Reorder the terms: 11 = -7w + 4(-4 + w) 11 = -7w + (-4 * 4 + w * 4) 11 = -7w + (-16 + 4w) Reorder the terms: 11 = -16 + -7w + 4w Combine like terms: -7w + 4w = -3w 11 = -16 + -3w Solving 11 = -16 + -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. 11 + 3w = -16 + -3w + 3w Combine like terms: -3w + 3w = 0 11 + 3w = -16 + 0 11 + 3w = -16 Add '-11' to each side of the equation. 11 + -11 + 3w = -16 + -11 Combine like terms: 11 + -11 = 0 0 + 3w = -16 + -11 3w = -16 + -11 Combine like terms: -16 + -11 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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