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Simplifying 7(w + -4) = -2w + -10 Reorder the terms: 7(-4 + w) = -2w + -10 (-4 * 7 + w * 7) = -2w + -10 (-28 + 7w) = -2w + -10 Reorder the terms: -28 + 7w = -10 + -2w Solving -28 + 7w = -10 + -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 + 7w + 2w = -10 + -2w + 2w Combine like terms: 7w + 2w = 9w -28 + 9w = -10 + -2w + 2w Combine like terms: -2w + 2w = 0 -28 + 9w = -10 + 0 -28 + 9w = -10 Add '28' to each side of the equation. -28 + 28 + 9w = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 9w = -10 + 28 9w = -10 + 28 Combine like terms: -10 + 28 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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