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Simplifying 6(w + 6) = -4(2w + -8) + 2w Reorder the terms: 6(6 + w) = -4(2w + -8) + 2w (6 * 6 + w * 6) = -4(2w + -8) + 2w (36 + 6w) = -4(2w + -8) + 2w Reorder the terms: 36 + 6w = -4(-8 + 2w) + 2w 36 + 6w = (-8 * -4 + 2w * -4) + 2w 36 + 6w = (32 + -8w) + 2w Combine like terms: -8w + 2w = -6w 36 + 6w = 32 + -6w Solving 36 + 6w = 32 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 36 + 6w + 6w = 32 + -6w + 6w Combine like terms: 6w + 6w = 12w 36 + 12w = 32 + -6w + 6w Combine like terms: -6w + 6w = 0 36 + 12w = 32 + 0 36 + 12w = 32 Add '-36' to each side of the equation. 36 + -36 + 12w = 32 + -36 Combine like terms: 36 + -36 = 0 0 + 12w = 32 + -36 12w = 32 + -36 Combine like terms: 32 + -36 = -4 12w = -4 Divide each side by '12'. w = -0.3333333333 Simplifying w = -0.3333333333
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