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Simplifying -5w + -6 = 2w + -9 Reorder the terms: -6 + -5w = 2w + -9 Reorder the terms: -6 + -5w = -9 + 2w Solving -6 + -5w = -9 + 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. -6 + -5w + -2w = -9 + 2w + -2w Combine like terms: -5w + -2w = -7w -6 + -7w = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + -7w = -9 + 0 -6 + -7w = -9 Add '6' to each side of the equation. -6 + 6 + -7w = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -7w = -9 + 6 -7w = -9 + 6 Combine like terms: -9 + 6 = -3 -7w = -3 Divide each side by '-7'. w = 0.4285714286 Simplifying w = 0.4285714286
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