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Simplifying -9w + -30 = 3(w + -2) Reorder the terms: -30 + -9w = 3(w + -2) Reorder the terms: -30 + -9w = 3(-2 + w) -30 + -9w = (-2 * 3 + w * 3) -30 + -9w = (-6 + 3w) Solving -30 + -9w = -6 + 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 + -9w + -3w = -6 + 3w + -3w Combine like terms: -9w + -3w = -12w -30 + -12w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 -30 + -12w = -6 + 0 -30 + -12w = -6 Add '30' to each side of the equation. -30 + 30 + -12w = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -12w = -6 + 30 -12w = -6 + 30 Combine like terms: -6 + 30 = 24 -12w = 24 Divide each side by '-12'. w = -2 Simplifying w = -2
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