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Simplifying -5w + -10 = -3(w + 2) Reorder the terms: -10 + -5w = -3(w + 2) Reorder the terms: -10 + -5w = -3(2 + w) -10 + -5w = (2 * -3 + w * -3) -10 + -5w = (-6 + -3w) Solving -10 + -5w = -6 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -10 + -5w + 3w = -6 + -3w + 3w Combine like terms: -5w + 3w = -2w -10 + -2w = -6 + -3w + 3w Combine like terms: -3w + 3w = 0 -10 + -2w = -6 + 0 -10 + -2w = -6 Add '10' to each side of the equation. -10 + 10 + -2w = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -2w = -6 + 10 -2w = -6 + 10 Combine like terms: -6 + 10 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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