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Simplifying 7(w + -1) + -2(w + 1) = 0 Reorder the terms: 7(-1 + w) + -2(w + 1) = 0 (-1 * 7 + w * 7) + -2(w + 1) = 0 (-7 + 7w) + -2(w + 1) = 0 Reorder the terms: -7 + 7w + -2(1 + w) = 0 -7 + 7w + (1 * -2 + w * -2) = 0 -7 + 7w + (-2 + -2w) = 0 Reorder the terms: -7 + -2 + 7w + -2w = 0 Combine like terms: -7 + -2 = -9 -9 + 7w + -2w = 0 Combine like terms: 7w + -2w = 5w -9 + 5w = 0 Solving -9 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5w = 0 + 9 5w = 0 + 9 Combine like terms: 0 + 9 = 9 5w = 9 Divide each side by '5'. w = 1.8 Simplifying w = 1.8
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