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Simplifying 6w + -2 = 2(w + -5) Reorder the terms: -2 + 6w = 2(w + -5) Reorder the terms: -2 + 6w = 2(-5 + w) -2 + 6w = (-5 * 2 + w * 2) -2 + 6w = (-10 + 2w) Solving -2 + 6w = -10 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -2 + 6w + -2w = -10 + 2w + -2w Combine like terms: 6w + -2w = 4w -2 + 4w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 -2 + 4w = -10 + 0 -2 + 4w = -10 Add '2' to each side of the equation. -2 + 2 + 4w = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 4w = -10 + 2 4w = -10 + 2 Combine like terms: -10 + 2 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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