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Simplifying 2(w + -2) + -6w = 8 Reorder the terms: 2(-2 + w) + -6w = 8 (-2 * 2 + w * 2) + -6w = 8 (-4 + 2w) + -6w = 8 Combine like terms: 2w + -6w = -4w -4 + -4w = 8 Solving -4 + -4w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -4w = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -4w = 8 + 4 -4w = 8 + 4 Combine like terms: 8 + 4 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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