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Simplifying -2w + -4 = 3(w + -3) Reorder the terms: -4 + -2w = 3(w + -3) Reorder the terms: -4 + -2w = 3(-3 + w) -4 + -2w = (-3 * 3 + w * 3) -4 + -2w = (-9 + 3w) Solving -4 + -2w = -9 + 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. -4 + -2w + -3w = -9 + 3w + -3w Combine like terms: -2w + -3w = -5w -4 + -5w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 -4 + -5w = -9 + 0 -4 + -5w = -9 Add '4' to each side of the equation. -4 + 4 + -5w = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -5w = -9 + 4 -5w = -9 + 4 Combine like terms: -9 + 4 = -5 -5w = -5 Divide each side by '-5'. w = 1 Simplifying w = 1
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