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Simplifying 3(w + -7) + -3 = -3(-9w + 5) + -6w Reorder the terms: 3(-7 + w) + -3 = -3(-9w + 5) + -6w (-7 * 3 + w * 3) + -3 = -3(-9w + 5) + -6w (-21 + 3w) + -3 = -3(-9w + 5) + -6w Reorder the terms: -21 + -3 + 3w = -3(-9w + 5) + -6w Combine like terms: -21 + -3 = -24 -24 + 3w = -3(-9w + 5) + -6w Reorder the terms: -24 + 3w = -3(5 + -9w) + -6w -24 + 3w = (5 * -3 + -9w * -3) + -6w -24 + 3w = (-15 + 27w) + -6w Combine like terms: 27w + -6w = 21w -24 + 3w = -15 + 21w Solving -24 + 3w = -15 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -24 + 3w + -21w = -15 + 21w + -21w Combine like terms: 3w + -21w = -18w -24 + -18w = -15 + 21w + -21w Combine like terms: 21w + -21w = 0 -24 + -18w = -15 + 0 -24 + -18w = -15 Add '24' to each side of the equation. -24 + 24 + -18w = -15 + 24 Combine like terms: -24 + 24 = 0 0 + -18w = -15 + 24 -18w = -15 + 24 Combine like terms: -15 + 24 = 9 -18w = 9 Divide each side by '-18'. w = -0.5 Simplifying w = -0.5
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