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Simplifying -1w + 4(w + -3) = 12 Reorder the terms: -1w + 4(-3 + w) = 12 -1w + (-3 * 4 + w * 4) = 12 -1w + (-12 + 4w) = 12 Reorder the terms: -12 + -1w + 4w = 12 Combine like terms: -1w + 4w = 3w -12 + 3w = 12 Solving -12 + 3w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3w = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3w = 12 + 12 3w = 12 + 12 Combine like terms: 12 + 12 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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