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Simplifying -6(w + 5) = 2w + 18 Reorder the terms: -6(5 + w) = 2w + 18 (5 * -6 + w * -6) = 2w + 18 (-30 + -6w) = 2w + 18 Reorder the terms: -30 + -6w = 18 + 2w Solving -30 + -6w = 18 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -30 + -6w + -2w = 18 + 2w + -2w Combine like terms: -6w + -2w = -8w -30 + -8w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 -30 + -8w = 18 + 0 -30 + -8w = 18 Add '30' to each side of the equation. -30 + 30 + -8w = 18 + 30 Combine like terms: -30 + 30 = 0 0 + -8w = 18 + 30 -8w = 18 + 30 Combine like terms: 18 + 30 = 48 -8w = 48 Divide each side by '-8'. w = -6 Simplifying w = -6
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