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Simplifying 7w + -4(4w + 8) = 11 Reorder the terms: 7w + -4(8 + 4w) = 11 7w + (8 * -4 + 4w * -4) = 11 7w + (-32 + -16w) = 11 Reorder the terms: -32 + 7w + -16w = 11 Combine like terms: 7w + -16w = -9w -32 + -9w = 11 Solving -32 + -9w = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -9w = 11 + 32 Combine like terms: -32 + 32 = 0 0 + -9w = 11 + 32 -9w = 11 + 32 Combine like terms: 11 + 32 = 43 -9w = 43 Divide each side by '-9'. w = -4.777777778 Simplifying w = -4.777777778
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