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