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Simplifying 7(w + -1) + -9 = -5(-6w + 2) + -9w Reorder the terms: 7(-1 + w) + -9 = -5(-6w + 2) + -9w (-1 * 7 + w * 7) + -9 = -5(-6w + 2) + -9w (-7 + 7w) + -9 = -5(-6w + 2) + -9w Reorder the terms: -7 + -9 + 7w = -5(-6w + 2) + -9w Combine like terms: -7 + -9 = -16 -16 + 7w = -5(-6w + 2) + -9w Reorder the terms: -16 + 7w = -5(2 + -6w) + -9w -16 + 7w = (2 * -5 + -6w * -5) + -9w -16 + 7w = (-10 + 30w) + -9w Combine like terms: 30w + -9w = 21w -16 + 7w = -10 + 21w Solving -16 + 7w = -10 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -16 + 7w + -21w = -10 + 21w + -21w Combine like terms: 7w + -21w = -14w -16 + -14w = -10 + 21w + -21w Combine like terms: 21w + -21w = 0 -16 + -14w = -10 + 0 -16 + -14w = -10 Add '16' to each side of the equation. -16 + 16 + -14w = -10 + 16 Combine like terms: -16 + 16 = 0 0 + -14w = -10 + 16 -14w = -10 + 16 Combine like terms: -10 + 16 = 6 -14w = 6 Divide each side by '-14'. w = -0.4285714286 Simplifying w = -0.4285714286
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