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Simplifying -9(w + 7) = -3w + -21 Reorder the terms: -9(7 + w) = -3w + -21 (7 * -9 + w * -9) = -3w + -21 (-63 + -9w) = -3w + -21 Reorder the terms: -63 + -9w = -21 + -3w Solving -63 + -9w = -21 + -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. -63 + -9w + 3w = -21 + -3w + 3w Combine like terms: -9w + 3w = -6w -63 + -6w = -21 + -3w + 3w Combine like terms: -3w + 3w = 0 -63 + -6w = -21 + 0 -63 + -6w = -21 Add '63' to each side of the equation. -63 + 63 + -6w = -21 + 63 Combine like terms: -63 + 63 = 0 0 + -6w = -21 + 63 -6w = -21 + 63 Combine like terms: -21 + 63 = 42 -6w = 42 Divide each side by '-6'. w = -7 Simplifying w = -7
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