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Simplifying 3(w + -7) + -6 = -3(-9w + 7) + -9w Reorder the terms: 3(-7 + w) + -6 = -3(-9w + 7) + -9w (-7 * 3 + w * 3) + -6 = -3(-9w + 7) + -9w (-21 + 3w) + -6 = -3(-9w + 7) + -9w Reorder the terms: -21 + -6 + 3w = -3(-9w + 7) + -9w Combine like terms: -21 + -6 = -27 -27 + 3w = -3(-9w + 7) + -9w Reorder the terms: -27 + 3w = -3(7 + -9w) + -9w -27 + 3w = (7 * -3 + -9w * -3) + -9w -27 + 3w = (-21 + 27w) + -9w Combine like terms: 27w + -9w = 18w -27 + 3w = -21 + 18w Solving -27 + 3w = -21 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. -27 + 3w + -18w = -21 + 18w + -18w Combine like terms: 3w + -18w = -15w -27 + -15w = -21 + 18w + -18w Combine like terms: 18w + -18w = 0 -27 + -15w = -21 + 0 -27 + -15w = -21 Add '27' to each side of the equation. -27 + 27 + -15w = -21 + 27 Combine like terms: -27 + 27 = 0 0 + -15w = -21 + 27 -15w = -21 + 27 Combine like terms: -21 + 27 = 6 -15w = 6 Divide each side by '-15'. w = -0.4 Simplifying w = -0.4
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