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Simplifying 3(w + -3) + -3 = -3(-7w + 2) + -2w Reorder the terms: 3(-3 + w) + -3 = -3(-7w + 2) + -2w (-3 * 3 + w * 3) + -3 = -3(-7w + 2) + -2w (-9 + 3w) + -3 = -3(-7w + 2) + -2w Reorder the terms: -9 + -3 + 3w = -3(-7w + 2) + -2w Combine like terms: -9 + -3 = -12 -12 + 3w = -3(-7w + 2) + -2w Reorder the terms: -12 + 3w = -3(2 + -7w) + -2w -12 + 3w = (2 * -3 + -7w * -3) + -2w -12 + 3w = (-6 + 21w) + -2w Combine like terms: 21w + -2w = 19w -12 + 3w = -6 + 19w Solving -12 + 3w = -6 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -12 + 3w + -19w = -6 + 19w + -19w Combine like terms: 3w + -19w = -16w -12 + -16w = -6 + 19w + -19w Combine like terms: 19w + -19w = 0 -12 + -16w = -6 + 0 -12 + -16w = -6 Add '12' to each side of the equation. -12 + 12 + -16w = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -16w = -6 + 12 -16w = -6 + 12 Combine like terms: -6 + 12 = 6 -16w = 6 Divide each side by '-16'. w = -0.375 Simplifying w = -0.375
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