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Simplifying -9w + 13 = -4(w + 3) Reorder the terms: 13 + -9w = -4(w + 3) Reorder the terms: 13 + -9w = -4(3 + w) 13 + -9w = (3 * -4 + w * -4) 13 + -9w = (-12 + -4w) Solving 13 + -9w = -12 + -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. 13 + -9w + 4w = -12 + -4w + 4w Combine like terms: -9w + 4w = -5w 13 + -5w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 13 + -5w = -12 + 0 13 + -5w = -12 Add '-13' to each side of the equation. 13 + -13 + -5w = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -5w = -12 + -13 -5w = -12 + -13 Combine like terms: -12 + -13 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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