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Simplifying 6w + 6(w + -7) = 18 Reorder the terms: 6w + 6(-7 + w) = 18 6w + (-7 * 6 + w * 6) = 18 6w + (-42 + 6w) = 18 Reorder the terms: -42 + 6w + 6w = 18 Combine like terms: 6w + 6w = 12w -42 + 12w = 18 Solving -42 + 12w = 18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 12w = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 12w = 18 + 42 12w = 18 + 42 Combine like terms: 18 + 42 = 60 12w = 60 Divide each side by '12'. w = 5 Simplifying w = 5
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