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Simplifying 2w + -6(w + -2) = 8(w + -2) Reorder the terms: 2w + -6(-2 + w) = 8(w + -2) 2w + (-2 * -6 + w * -6) = 8(w + -2) 2w + (12 + -6w) = 8(w + -2) Reorder the terms: 12 + 2w + -6w = 8(w + -2) Combine like terms: 2w + -6w = -4w 12 + -4w = 8(w + -2) Reorder the terms: 12 + -4w = 8(-2 + w) 12 + -4w = (-2 * 8 + w * 8) 12 + -4w = (-16 + 8w) Solving 12 + -4w = -16 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 12 + -4w + -8w = -16 + 8w + -8w Combine like terms: -4w + -8w = -12w 12 + -12w = -16 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + -12w = -16 + 0 12 + -12w = -16 Add '-12' to each side of the equation. 12 + -12 + -12w = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -12w = -16 + -12 -12w = -16 + -12 Combine like terms: -16 + -12 = -28 -12w = -28 Divide each side by '-12'. w = 2.333333333 Simplifying w = 2.333333333
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