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Simplifying -2w + -6 = 2(w + -5) Reorder the terms: -6 + -2w = 2(w + -5) Reorder the terms: -6 + -2w = 2(-5 + w) -6 + -2w = (-5 * 2 + w * 2) -6 + -2w = (-10 + 2w) Solving -6 + -2w = -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. -6 + -2w + -2w = -10 + 2w + -2w Combine like terms: -2w + -2w = -4w -6 + -4w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + -4w = -10 + 0 -6 + -4w = -10 Add '6' to each side of the equation. -6 + 6 + -4w = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -4w = -10 + 6 -4w = -10 + 6 Combine like terms: -10 + 6 = -4 -4w = -4 Divide each side by '-4'. w = 1 Simplifying w = 1
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