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Simplifying w + 13 = 4w + -47 Reorder the terms: 13 + w = 4w + -47 Reorder the terms: 13 + w = -47 + 4w Solving 13 + w = -47 + 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 + w + -4w = -47 + 4w + -4w Combine like terms: w + -4w = -3w 13 + -3w = -47 + 4w + -4w Combine like terms: 4w + -4w = 0 13 + -3w = -47 + 0 13 + -3w = -47 Add '-13' to each side of the equation. 13 + -13 + -3w = -47 + -13 Combine like terms: 13 + -13 = 0 0 + -3w = -47 + -13 -3w = -47 + -13 Combine like terms: -47 + -13 = -60 -3w = -60 Divide each side by '-3'. w = 20 Simplifying w = 20
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