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Simplifying 2(w + -9) + -6 = -3(-7w + 6) + -3w Reorder the terms: 2(-9 + w) + -6 = -3(-7w + 6) + -3w (-9 * 2 + w * 2) + -6 = -3(-7w + 6) + -3w (-18 + 2w) + -6 = -3(-7w + 6) + -3w Reorder the terms: -18 + -6 + 2w = -3(-7w + 6) + -3w Combine like terms: -18 + -6 = -24 -24 + 2w = -3(-7w + 6) + -3w Reorder the terms: -24 + 2w = -3(6 + -7w) + -3w -24 + 2w = (6 * -3 + -7w * -3) + -3w -24 + 2w = (-18 + 21w) + -3w Combine like terms: 21w + -3w = 18w -24 + 2w = -18 + 18w Solving -24 + 2w = -18 + 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 + 2w + -18w = -18 + 18w + -18w Combine like terms: 2w + -18w = -16w -24 + -16w = -18 + 18w + -18w Combine like terms: 18w + -18w = 0 -24 + -16w = -18 + 0 -24 + -16w = -18 Add '24' to each side of the equation. -24 + 24 + -16w = -18 + 24 Combine like terms: -24 + 24 = 0 0 + -16w = -18 + 24 -16w = -18 + 24 Combine like terms: -18 + 24 = 6 -16w = 6 Divide each side by '-16'. w = -0.375 Simplifying w = -0.375
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