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Simplifying -6w + -14 = -2(w + -5) Reorder the terms: -14 + -6w = -2(w + -5) Reorder the terms: -14 + -6w = -2(-5 + w) -14 + -6w = (-5 * -2 + w * -2) -14 + -6w = (10 + -2w) Solving -14 + -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. -14 + -6w + 2w = 10 + -2w + 2w Combine like terms: -6w + 2w = -4w -14 + -4w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 -14 + -4w = 10 + 0 -14 + -4w = 10 Add '14' to each side of the equation. -14 + 14 + -4w = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -4w = 10 + 14 -4w = 10 + 14 Combine like terms: 10 + 14 = 24 -4w = 24 Divide each side by '-4'. w = -6 Simplifying w = -6
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