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Simplifying 6(w + 2) = 2(7w + -2) + 6w Reorder the terms: 6(2 + w) = 2(7w + -2) + 6w (2 * 6 + w * 6) = 2(7w + -2) + 6w (12 + 6w) = 2(7w + -2) + 6w Reorder the terms: 12 + 6w = 2(-2 + 7w) + 6w 12 + 6w = (-2 * 2 + 7w * 2) + 6w 12 + 6w = (-4 + 14w) + 6w Combine like terms: 14w + 6w = 20w 12 + 6w = -4 + 20w Solving 12 + 6w = -4 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 12 + 6w + -20w = -4 + 20w + -20w Combine like terms: 6w + -20w = -14w 12 + -14w = -4 + 20w + -20w Combine like terms: 20w + -20w = 0 12 + -14w = -4 + 0 12 + -14w = -4 Add '-12' to each side of the equation. 12 + -12 + -14w = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -14w = -4 + -12 -14w = -4 + -12 Combine like terms: -4 + -12 = -16 -14w = -16 Divide each side by '-14'. w = 1.142857143 Simplifying w = 1.142857143
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