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Simplifying 2(w + -3) + -5 = -3(w + 3) Reorder the terms: 2(-3 + w) + -5 = -3(w + 3) (-3 * 2 + w * 2) + -5 = -3(w + 3) (-6 + 2w) + -5 = -3(w + 3) Reorder the terms: -6 + -5 + 2w = -3(w + 3) Combine like terms: -6 + -5 = -11 -11 + 2w = -3(w + 3) Reorder the terms: -11 + 2w = -3(3 + w) -11 + 2w = (3 * -3 + w * -3) -11 + 2w = (-9 + -3w) Solving -11 + 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. -11 + 2w + 3w = -9 + -3w + 3w Combine like terms: 2w + 3w = 5w -11 + 5w = -9 + -3w + 3w Combine like terms: -3w + 3w = 0 -11 + 5w = -9 + 0 -11 + 5w = -9 Add '11' to each side of the equation. -11 + 11 + 5w = -9 + 11 Combine like terms: -11 + 11 = 0 0 + 5w = -9 + 11 5w = -9 + 11 Combine like terms: -9 + 11 = 2 5w = 2 Divide each side by '5'. w = 0.4 Simplifying w = 0.4
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