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Simplifying 4(w + -3) + -1w = w + -6 Reorder the terms: 4(-3 + w) + -1w = w + -6 (-3 * 4 + w * 4) + -1w = w + -6 (-12 + 4w) + -1w = w + -6 Combine like terms: 4w + -1w = 3w -12 + 3w = w + -6 Reorder the terms: -12 + 3w = -6 + w Solving -12 + 3w = -6 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -12 + 3w + -1w = -6 + w + -1w Combine like terms: 3w + -1w = 2w -12 + 2w = -6 + w + -1w Combine like terms: w + -1w = 0 -12 + 2w = -6 + 0 -12 + 2w = -6 Add '12' to each side of the equation. -12 + 12 + 2w = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 2w = -6 + 12 2w = -6 + 12 Combine like terms: -6 + 12 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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