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Simplifying 12w + 11 = 5w + -1(-4 + w) Reorder the terms: 11 + 12w = 5w + -1(-4 + w) 11 + 12w = 5w + (-4 * -1 + w * -1) 11 + 12w = 5w + (4 + -1w) Reorder the terms: 11 + 12w = 4 + 5w + -1w Combine like terms: 5w + -1w = 4w 11 + 12w = 4 + 4w Solving 11 + 12w = 4 + 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. 11 + 12w + -4w = 4 + 4w + -4w Combine like terms: 12w + -4w = 8w 11 + 8w = 4 + 4w + -4w Combine like terms: 4w + -4w = 0 11 + 8w = 4 + 0 11 + 8w = 4 Add '-11' to each side of the equation. 11 + -11 + 8w = 4 + -11 Combine like terms: 11 + -11 = 0 0 + 8w = 4 + -11 8w = 4 + -11 Combine like terms: 4 + -11 = -7 8w = -7 Divide each side by '8'. w = -0.875 Simplifying w = -0.875
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