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Simplifying 7(w + -6) + -8 = -6(-4w + 9) + -3w Reorder the terms: 7(-6 + w) + -8 = -6(-4w + 9) + -3w (-6 * 7 + w * 7) + -8 = -6(-4w + 9) + -3w (-42 + 7w) + -8 = -6(-4w + 9) + -3w Reorder the terms: -42 + -8 + 7w = -6(-4w + 9) + -3w Combine like terms: -42 + -8 = -50 -50 + 7w = -6(-4w + 9) + -3w Reorder the terms: -50 + 7w = -6(9 + -4w) + -3w -50 + 7w = (9 * -6 + -4w * -6) + -3w -50 + 7w = (-54 + 24w) + -3w Combine like terms: 24w + -3w = 21w -50 + 7w = -54 + 21w Solving -50 + 7w = -54 + 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. -50 + 7w + -21w = -54 + 21w + -21w Combine like terms: 7w + -21w = -14w -50 + -14w = -54 + 21w + -21w Combine like terms: 21w + -21w = 0 -50 + -14w = -54 + 0 -50 + -14w = -54 Add '50' to each side of the equation. -50 + 50 + -14w = -54 + 50 Combine like terms: -50 + 50 = 0 0 + -14w = -54 + 50 -14w = -54 + 50 Combine like terms: -54 + 50 = -4 -14w = -4 Divide each side by '-14'. w = 0.2857142857 Simplifying w = 0.2857142857
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