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Simplifying -6w + -30 = 3w + 15 Reorder the terms: -30 + -6w = 3w + 15 Reorder the terms: -30 + -6w = 15 + 3w Solving -30 + -6w = 15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -30 + -6w + -3w = 15 + 3w + -3w Combine like terms: -6w + -3w = -9w -30 + -9w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 -30 + -9w = 15 + 0 -30 + -9w = 15 Add '30' to each side of the equation. -30 + 30 + -9w = 15 + 30 Combine like terms: -30 + 30 = 0 0 + -9w = 15 + 30 -9w = 15 + 30 Combine like terms: 15 + 30 = 45 -9w = 45 Divide each side by '-9'. w = -5 Simplifying w = -5
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