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Simplifying -4(w + 3) = 2w + 12 Reorder the terms: -4(3 + w) = 2w + 12 (3 * -4 + w * -4) = 2w + 12 (-12 + -4w) = 2w + 12 Reorder the terms: -12 + -4w = 12 + 2w Solving -12 + -4w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -12 + -4w + -2w = 12 + 2w + -2w Combine like terms: -4w + -2w = -6w -12 + -6w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + -6w = 12 + 0 -12 + -6w = 12 Add '12' to each side of the equation. -12 + 12 + -6w = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -6w = 12 + 12 -6w = 12 + 12 Combine like terms: 12 + 12 = 24 -6w = 24 Divide each side by '-6'. w = -4 Simplifying w = -4
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