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Simplifying 7w + -1(3)(4w + 8) = 11 Reorder the terms: 7w + -1 * 3(8 + 4w) = 11 Multiply -1 * 3 7w + -3(8 + 4w) = 11 7w + (8 * -3 + 4w * -3) = 11 7w + (-24 + -12w) = 11 Reorder the terms: -24 + 7w + -12w = 11 Combine like terms: 7w + -12w = -5w -24 + -5w = 11 Solving -24 + -5w = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -5w = 11 + 24 Combine like terms: -24 + 24 = 0 0 + -5w = 11 + 24 -5w = 11 + 24 Combine like terms: 11 + 24 = 35 -5w = 35 Divide each side by '-5'. w = -7 Simplifying w = -7
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