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Simplifying 7w + -3(4w + 18) = 11 Reorder the terms: 7w + -3(18 + 4w) = 11 7w + (18 * -3 + 4w * -3) = 11 7w + (-54 + -12w) = 11 Reorder the terms: -54 + 7w + -12w = 11 Combine like terms: 7w + -12w = -5w -54 + -5w = 11 Solving -54 + -5w = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -5w = 11 + 54 Combine like terms: -54 + 54 = 0 0 + -5w = 11 + 54 -5w = 11 + 54 Combine like terms: 11 + 54 = 65 -5w = 65 Divide each side by '-5'. w = -13 Simplifying w = -13
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