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Simplifying -7w + 10w + 1 = 4w + -11 Reorder the terms: 1 + -7w + 10w = 4w + -11 Combine like terms: -7w + 10w = 3w 1 + 3w = 4w + -11 Reorder the terms: 1 + 3w = -11 + 4w Solving 1 + 3w = -11 + 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. 1 + 3w + -4w = -11 + 4w + -4w Combine like terms: 3w + -4w = -1w 1 + -1w = -11 + 4w + -4w Combine like terms: 4w + -4w = 0 1 + -1w = -11 + 0 1 + -1w = -11 Add '-1' to each side of the equation. 1 + -1 + -1w = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = -11 + -1 -1w = -11 + -1 Combine like terms: -11 + -1 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12
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