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Simplifying -4w + -11 = 9(w + -7) Reorder the terms: -11 + -4w = 9(w + -7) Reorder the terms: -11 + -4w = 9(-7 + w) -11 + -4w = (-7 * 9 + w * 9) -11 + -4w = (-63 + 9w) Solving -11 + -4w = -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. -11 + -4w + -9w = -63 + 9w + -9w Combine like terms: -4w + -9w = -13w -11 + -13w = -63 + 9w + -9w Combine like terms: 9w + -9w = 0 -11 + -13w = -63 + 0 -11 + -13w = -63 Add '11' to each side of the equation. -11 + 11 + -13w = -63 + 11 Combine like terms: -11 + 11 = 0 0 + -13w = -63 + 11 -13w = -63 + 11 Combine like terms: -63 + 11 = -52 -13w = -52 Divide each side by '-13'. w = 4 Simplifying w = 4
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