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Simplifying -2w + -6 = -5(w + -3) Reorder the terms: -6 + -2w = -5(w + -3) Reorder the terms: -6 + -2w = -5(-3 + w) -6 + -2w = (-3 * -5 + w * -5) -6 + -2w = (15 + -5w) Solving -6 + -2w = 15 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -6 + -2w + 5w = 15 + -5w + 5w Combine like terms: -2w + 5w = 3w -6 + 3w = 15 + -5w + 5w Combine like terms: -5w + 5w = 0 -6 + 3w = 15 + 0 -6 + 3w = 15 Add '6' to each side of the equation. -6 + 6 + 3w = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 3w = 15 + 6 3w = 15 + 6 Combine like terms: 15 + 6 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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