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Simplifying 6(w + -3) + -2 = -3(-8w + 8) + -6w Reorder the terms: 6(-3 + w) + -2 = -3(-8w + 8) + -6w (-3 * 6 + w * 6) + -2 = -3(-8w + 8) + -6w (-18 + 6w) + -2 = -3(-8w + 8) + -6w Reorder the terms: -18 + -2 + 6w = -3(-8w + 8) + -6w Combine like terms: -18 + -2 = -20 -20 + 6w = -3(-8w + 8) + -6w Reorder the terms: -20 + 6w = -3(8 + -8w) + -6w -20 + 6w = (8 * -3 + -8w * -3) + -6w -20 + 6w = (-24 + 24w) + -6w Combine like terms: 24w + -6w = 18w -20 + 6w = -24 + 18w Solving -20 + 6w = -24 + 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. -20 + 6w + -18w = -24 + 18w + -18w Combine like terms: 6w + -18w = -12w -20 + -12w = -24 + 18w + -18w Combine like terms: 18w + -18w = 0 -20 + -12w = -24 + 0 -20 + -12w = -24 Add '20' to each side of the equation. -20 + 20 + -12w = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -12w = -24 + 20 -12w = -24 + 20 Combine like terms: -24 + 20 = -4 -12w = -4 Divide each side by '-12'. w = 0.3333333333 Simplifying w = 0.3333333333
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