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Simplifying -4(w + 3) = -2w + -30 Reorder the terms: -4(3 + w) = -2w + -30 (3 * -4 + w * -4) = -2w + -30 (-12 + -4w) = -2w + -30 Reorder the terms: -12 + -4w = -30 + -2w Solving -12 + -4w = -30 + -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 = -30 + -2w + 2w Combine like terms: -4w + 2w = -2w -12 + -2w = -30 + -2w + 2w Combine like terms: -2w + 2w = 0 -12 + -2w = -30 + 0 -12 + -2w = -30 Add '12' to each side of the equation. -12 + 12 + -2w = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -2w = -30 + 12 -2w = -30 + 12 Combine like terms: -30 + 12 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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