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Simplifying 13 = 3w + -7w + -7 Reorder the terms: 13 = -7 + 3w + -7w Combine like terms: 3w + -7w = -4w 13 = -7 + -4w Solving 13 = -7 + -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 + 4w = -7 + -4w + 4w Combine like terms: -4w + 4w = 0 13 + 4w = -7 + 0 13 + 4w = -7 Add '-13' to each side of the equation. 13 + -13 + 4w = -7 + -13 Combine like terms: 13 + -13 = 0 0 + 4w = -7 + -13 4w = -7 + -13 Combine like terms: -7 + -13 = -20 4w = -20 Divide each side by '4'. w = -5 Simplifying w = -5
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