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Simplifying 4(w + -7) = 2w + -12 Reorder the terms: 4(-7 + w) = 2w + -12 (-7 * 4 + w * 4) = 2w + -12 (-28 + 4w) = 2w + -12 Reorder the terms: -28 + 4w = -12 + 2w Solving -28 + 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. -28 + 4w + -2w = -12 + 2w + -2w Combine like terms: 4w + -2w = 2w -28 + 2w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 -28 + 2w = -12 + 0 -28 + 2w = -12 Add '28' to each side of the equation. -28 + 28 + 2w = -12 + 28 Combine like terms: -28 + 28 = 0 0 + 2w = -12 + 28 2w = -12 + 28 Combine like terms: -12 + 28 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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