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Simplifying 4w + -3w + 1 = -3(w + -11) Reorder the terms: 1 + 4w + -3w = -3(w + -11) Combine like terms: 4w + -3w = 1w 1 + 1w = -3(w + -11) Reorder the terms: 1 + 1w = -3(-11 + w) 1 + 1w = (-11 * -3 + w * -3) 1 + 1w = (33 + -3w) Solving 1 + 1w = 33 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 1 + 1w + 3w = 33 + -3w + 3w Combine like terms: 1w + 3w = 4w 1 + 4w = 33 + -3w + 3w Combine like terms: -3w + 3w = 0 1 + 4w = 33 + 0 1 + 4w = 33 Add '-1' to each side of the equation. 1 + -1 + 4w = 33 + -1 Combine like terms: 1 + -1 = 0 0 + 4w = 33 + -1 4w = 33 + -1 Combine like terms: 33 + -1 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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