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Simplifying 9 + -6w = 7w + -3(7 + w) 9 + -6w = 7w + (7 * -3 + w * -3) 9 + -6w = 7w + (-21 + -3w) Reorder the terms: 9 + -6w = -21 + 7w + -3w Combine like terms: 7w + -3w = 4w 9 + -6w = -21 + 4w Solving 9 + -6w = -21 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 9 + -6w + -4w = -21 + 4w + -4w Combine like terms: -6w + -4w = -10w 9 + -10w = -21 + 4w + -4w Combine like terms: 4w + -4w = 0 9 + -10w = -21 + 0 9 + -10w = -21 Add '-9' to each side of the equation. 9 + -9 + -10w = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -10w = -21 + -9 -10w = -21 + -9 Combine like terms: -21 + -9 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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