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Simplifying 3(w + -3) + -9 = -3(-8w + 7) + -6w Reorder the terms: 3(-3 + w) + -9 = -3(-8w + 7) + -6w (-3 * 3 + w * 3) + -9 = -3(-8w + 7) + -6w (-9 + 3w) + -9 = -3(-8w + 7) + -6w Reorder the terms: -9 + -9 + 3w = -3(-8w + 7) + -6w Combine like terms: -9 + -9 = -18 -18 + 3w = -3(-8w + 7) + -6w Reorder the terms: -18 + 3w = -3(7 + -8w) + -6w -18 + 3w = (7 * -3 + -8w * -3) + -6w -18 + 3w = (-21 + 24w) + -6w Combine like terms: 24w + -6w = 18w -18 + 3w = -21 + 18w Solving -18 + 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. -18 + 3w + -18w = -21 + 18w + -18w Combine like terms: 3w + -18w = -15w -18 + -15w = -21 + 18w + -18w Combine like terms: 18w + -18w = 0 -18 + -15w = -21 + 0 -18 + -15w = -21 Add '18' to each side of the equation. -18 + 18 + -15w = -21 + 18 Combine like terms: -18 + 18 = 0 0 + -15w = -21 + 18 -15w = -21 + 18 Combine like terms: -21 + 18 = -3 -15w = -3 Divide each side by '-15'. w = 0.2 Simplifying w = 0.2
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