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Simplifying 9 + 7(2w + -3) = -2(3w + -3) + 6w Reorder the terms: 9 + 7(-3 + 2w) = -2(3w + -3) + 6w 9 + (-3 * 7 + 2w * 7) = -2(3w + -3) + 6w 9 + (-21 + 14w) = -2(3w + -3) + 6w Combine like terms: 9 + -21 = -12 -12 + 14w = -2(3w + -3) + 6w Reorder the terms: -12 + 14w = -2(-3 + 3w) + 6w -12 + 14w = (-3 * -2 + 3w * -2) + 6w -12 + 14w = (6 + -6w) + 6w Combine like terms: -6w + 6w = 0 -12 + 14w = 6 + 0 -12 + 14w = 6 Solving -12 + 14w = 6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 14w = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 14w = 6 + 12 14w = 6 + 12 Combine like terms: 6 + 12 = 18 14w = 18 Divide each side by '14'. w = 1.285714286 Simplifying w = 1.285714286
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