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Simplifying 7w + 9 = 4(w + -3) Reorder the terms: 9 + 7w = 4(w + -3) Reorder the terms: 9 + 7w = 4(-3 + w) 9 + 7w = (-3 * 4 + w * 4) 9 + 7w = (-12 + 4w) Solving 9 + 7w = -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. 9 + 7w + -4w = -12 + 4w + -4w Combine like terms: 7w + -4w = 3w 9 + 3w = -12 + 4w + -4w Combine like terms: 4w + -4w = 0 9 + 3w = -12 + 0 9 + 3w = -12 Add '-9' to each side of the equation. 9 + -9 + 3w = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3w = -12 + -9 3w = -12 + -9 Combine like terms: -12 + -9 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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