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Simplifying -9w + -21 = 3(w + 9) Reorder the terms: -21 + -9w = 3(w + 9) Reorder the terms: -21 + -9w = 3(9 + w) -21 + -9w = (9 * 3 + w * 3) -21 + -9w = (27 + 3w) Solving -21 + -9w = 27 + 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. -21 + -9w + -3w = 27 + 3w + -3w Combine like terms: -9w + -3w = -12w -21 + -12w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 -21 + -12w = 27 + 0 -21 + -12w = 27 Add '21' to each side of the equation. -21 + 21 + -12w = 27 + 21 Combine like terms: -21 + 21 = 0 0 + -12w = 27 + 21 -12w = 27 + 21 Combine like terms: 27 + 21 = 48 -12w = 48 Divide each side by '-12'. w = -4 Simplifying w = -4
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