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Simplifying 5(w + -6) + -2 = -4(-8w + 9) + -9w Reorder the terms: 5(-6 + w) + -2 = -4(-8w + 9) + -9w (-6 * 5 + w * 5) + -2 = -4(-8w + 9) + -9w (-30 + 5w) + -2 = -4(-8w + 9) + -9w Reorder the terms: -30 + -2 + 5w = -4(-8w + 9) + -9w Combine like terms: -30 + -2 = -32 -32 + 5w = -4(-8w + 9) + -9w Reorder the terms: -32 + 5w = -4(9 + -8w) + -9w -32 + 5w = (9 * -4 + -8w * -4) + -9w -32 + 5w = (-36 + 32w) + -9w Combine like terms: 32w + -9w = 23w -32 + 5w = -36 + 23w Solving -32 + 5w = -36 + 23w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23w' to each side of the equation. -32 + 5w + -23w = -36 + 23w + -23w Combine like terms: 5w + -23w = -18w -32 + -18w = -36 + 23w + -23w Combine like terms: 23w + -23w = 0 -32 + -18w = -36 + 0 -32 + -18w = -36 Add '32' to each side of the equation. -32 + 32 + -18w = -36 + 32 Combine like terms: -32 + 32 = 0 0 + -18w = -36 + 32 -18w = -36 + 32 Combine like terms: -36 + 32 = -4 -18w = -4 Divide each side by '-18'. w = 0.2222222222 Simplifying w = 0.2222222222
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