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Simplifying 4(w + -3) = 3w + -2 Reorder the terms: 4(-3 + w) = 3w + -2 (-3 * 4 + w * 4) = 3w + -2 (-12 + 4w) = 3w + -2 Reorder the terms: -12 + 4w = -2 + 3w Solving -12 + 4w = -2 + 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. -12 + 4w + -3w = -2 + 3w + -3w Combine like terms: 4w + -3w = 1w -12 + 1w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 -12 + 1w = -2 + 0 -12 + 1w = -2 Add '12' to each side of the equation. -12 + 12 + 1w = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 1w = -2 + 12 1w = -2 + 12 Combine like terms: -2 + 12 = 10 1w = 10 Divide each side by '1'. w = 10 Simplifying w = 10
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