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Simplifying 3w + -32 = -2(w + 6) Reorder the terms: -32 + 3w = -2(w + 6) Reorder the terms: -32 + 3w = -2(6 + w) -32 + 3w = (6 * -2 + w * -2) -32 + 3w = (-12 + -2w) Solving -32 + 3w = -12 + -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. -32 + 3w + 2w = -12 + -2w + 2w Combine like terms: 3w + 2w = 5w -32 + 5w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 -32 + 5w = -12 + 0 -32 + 5w = -12 Add '32' to each side of the equation. -32 + 32 + 5w = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 5w = -12 + 32 5w = -12 + 32 Combine like terms: -12 + 32 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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