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Simplifying 4w + -7 = 9(w + -3) Reorder the terms: -7 + 4w = 9(w + -3) Reorder the terms: -7 + 4w = 9(-3 + w) -7 + 4w = (-3 * 9 + w * 9) -7 + 4w = (-27 + 9w) Solving -7 + 4w = -27 + 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. -7 + 4w + -9w = -27 + 9w + -9w Combine like terms: 4w + -9w = -5w -7 + -5w = -27 + 9w + -9w Combine like terms: 9w + -9w = 0 -7 + -5w = -27 + 0 -7 + -5w = -27 Add '7' to each side of the equation. -7 + 7 + -5w = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -5w = -27 + 7 -5w = -27 + 7 Combine like terms: -27 + 7 = -20 -5w = -20 Divide each side by '-5'. w = 4 Simplifying w = 4
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