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Simplifying 3(w + -5) + -9 = -7(-3w + 2) + -3w Reorder the terms: 3(-5 + w) + -9 = -7(-3w + 2) + -3w (-5 * 3 + w * 3) + -9 = -7(-3w + 2) + -3w (-15 + 3w) + -9 = -7(-3w + 2) + -3w Reorder the terms: -15 + -9 + 3w = -7(-3w + 2) + -3w Combine like terms: -15 + -9 = -24 -24 + 3w = -7(-3w + 2) + -3w Reorder the terms: -24 + 3w = -7(2 + -3w) + -3w -24 + 3w = (2 * -7 + -3w * -7) + -3w -24 + 3w = (-14 + 21w) + -3w Combine like terms: 21w + -3w = 18w -24 + 3w = -14 + 18w Solving -24 + 3w = -14 + 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. -24 + 3w + -18w = -14 + 18w + -18w Combine like terms: 3w + -18w = -15w -24 + -15w = -14 + 18w + -18w Combine like terms: 18w + -18w = 0 -24 + -15w = -14 + 0 -24 + -15w = -14 Add '24' to each side of the equation. -24 + 24 + -15w = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -15w = -14 + 24 -15w = -14 + 24 Combine like terms: -14 + 24 = 10 -15w = 10 Divide each side by '-15'. w = -0.6666666667 Simplifying w = -0.6666666667
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