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Simplifying -9(w + 4) = -2w + 20 Reorder the terms: -9(4 + w) = -2w + 20 (4 * -9 + w * -9) = -2w + 20 (-36 + -9w) = -2w + 20 Reorder the terms: -36 + -9w = 20 + -2w Solving -36 + -9w = 20 + -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. -36 + -9w + 2w = 20 + -2w + 2w Combine like terms: -9w + 2w = -7w -36 + -7w = 20 + -2w + 2w Combine like terms: -2w + 2w = 0 -36 + -7w = 20 + 0 -36 + -7w = 20 Add '36' to each side of the equation. -36 + 36 + -7w = 20 + 36 Combine like terms: -36 + 36 = 0 0 + -7w = 20 + 36 -7w = 20 + 36 Combine like terms: 20 + 36 = 56 -7w = 56 Divide each side by '-7'. w = -8 Simplifying w = -8
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