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Simplifying 3(w + -2) + -5 = -2(w + 3) Reorder the terms: 3(-2 + w) + -5 = -2(w + 3) (-2 * 3 + w * 3) + -5 = -2(w + 3) (-6 + 3w) + -5 = -2(w + 3) Reorder the terms: -6 + -5 + 3w = -2(w + 3) Combine like terms: -6 + -5 = -11 -11 + 3w = -2(w + 3) Reorder the terms: -11 + 3w = -2(3 + w) -11 + 3w = (3 * -2 + w * -2) -11 + 3w = (-6 + -2w) Solving -11 + 3w = -6 + -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. -11 + 3w + 2w = -6 + -2w + 2w Combine like terms: 3w + 2w = 5w -11 + 5w = -6 + -2w + 2w Combine like terms: -2w + 2w = 0 -11 + 5w = -6 + 0 -11 + 5w = -6 Add '11' to each side of the equation. -11 + 11 + 5w = -6 + 11 Combine like terms: -11 + 11 = 0 0 + 5w = -6 + 11 5w = -6 + 11 Combine like terms: -6 + 11 = 5 5w = 5 Divide each side by '5'. w = 1 Simplifying w = 1
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