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Simplifying 22 = 8(w + -6) + 6w Reorder the terms: 22 = 8(-6 + w) + 6w 22 = (-6 * 8 + w * 8) + 6w 22 = (-48 + 8w) + 6w Combine like terms: 8w + 6w = 14w 22 = -48 + 14w Solving 22 = -48 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 22 + -14w = -48 + 14w + -14w Combine like terms: 14w + -14w = 0 22 + -14w = -48 + 0 22 + -14w = -48 Add '-22' to each side of the equation. 22 + -22 + -14w = -48 + -22 Combine like terms: 22 + -22 = 0 0 + -14w = -48 + -22 -14w = -48 + -22 Combine like terms: -48 + -22 = -70 -14w = -70 Divide each side by '-14'. w = 5 Simplifying w = 5
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