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Simplifying -4(w + 7) = -2w + -48 Reorder the terms: -4(7 + w) = -2w + -48 (7 * -4 + w * -4) = -2w + -48 (-28 + -4w) = -2w + -48 Reorder the terms: -28 + -4w = -48 + -2w Solving -28 + -4w = -48 + -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 = -48 + -2w + 2w Combine like terms: -4w + 2w = -2w -28 + -2w = -48 + -2w + 2w Combine like terms: -2w + 2w = 0 -28 + -2w = -48 + 0 -28 + -2w = -48 Add '28' to each side of the equation. -28 + 28 + -2w = -48 + 28 Combine like terms: -28 + 28 = 0 0 + -2w = -48 + 28 -2w = -48 + 28 Combine like terms: -48 + 28 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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