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Simplifying 2(w + -4) = -7w + 28 Reorder the terms: 2(-4 + w) = -7w + 28 (-4 * 2 + w * 2) = -7w + 28 (-8 + 2w) = -7w + 28 Reorder the terms: -8 + 2w = 28 + -7w Solving -8 + 2w = 28 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -8 + 2w + 7w = 28 + -7w + 7w Combine like terms: 2w + 7w = 9w -8 + 9w = 28 + -7w + 7w Combine like terms: -7w + 7w = 0 -8 + 9w = 28 + 0 -8 + 9w = 28 Add '8' to each side of the equation. -8 + 8 + 9w = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 9w = 28 + 8 9w = 28 + 8 Combine like terms: 28 + 8 = 36 9w = 36 Divide each side by '9'. w = 4 Simplifying w = 4
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