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Simplifying 6w + -2(4w + 3) = 18 Reorder the terms: 6w + -2(3 + 4w) = 18 6w + (3 * -2 + 4w * -2) = 18 6w + (-6 + -8w) = 18 Reorder the terms: -6 + 6w + -8w = 18 Combine like terms: 6w + -8w = -2w -6 + -2w = 18 Solving -6 + -2w = 18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -2w = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -2w = 18 + 6 -2w = 18 + 6 Combine like terms: 18 + 6 = 24 -2w = 24 Divide each side by '-2'. w = -12 Simplifying w = -12
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