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Simplifying -3w + -21 = 9(w + 7) Reorder the terms: -21 + -3w = 9(w + 7) Reorder the terms: -21 + -3w = 9(7 + w) -21 + -3w = (7 * 9 + w * 9) -21 + -3w = (63 + 9w) Solving -21 + -3w = 63 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -21 + -3w + -9w = 63 + 9w + -9w Combine like terms: -3w + -9w = -12w -21 + -12w = 63 + 9w + -9w Combine like terms: 9w + -9w = 0 -21 + -12w = 63 + 0 -21 + -12w = 63 Add '21' to each side of the equation. -21 + 21 + -12w = 63 + 21 Combine like terms: -21 + 21 = 0 0 + -12w = 63 + 21 -12w = 63 + 21 Combine like terms: 63 + 21 = 84 -12w = 84 Divide each side by '-12'. w = -7 Simplifying w = -7
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