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Simplifying 8w + 13 = 7w + 5w + -11 Reorder the terms: 13 + 8w = 7w + 5w + -11 Reorder the terms: 13 + 8w = -11 + 7w + 5w Combine like terms: 7w + 5w = 12w 13 + 8w = -11 + 12w Solving 13 + 8w = -11 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 13 + 8w + -12w = -11 + 12w + -12w Combine like terms: 8w + -12w = -4w 13 + -4w = -11 + 12w + -12w Combine like terms: 12w + -12w = 0 13 + -4w = -11 + 0 13 + -4w = -11 Add '-13' to each side of the equation. 13 + -13 + -4w = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -4w = -11 + -13 -4w = -11 + -13 Combine like terms: -11 + -13 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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