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Simplifying 3w + 32 = -7(w + 4) Reorder the terms: 32 + 3w = -7(w + 4) Reorder the terms: 32 + 3w = -7(4 + w) 32 + 3w = (4 * -7 + w * -7) 32 + 3w = (-28 + -7w) Solving 32 + 3w = -28 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 32 + 3w + 7w = -28 + -7w + 7w Combine like terms: 3w + 7w = 10w 32 + 10w = -28 + -7w + 7w Combine like terms: -7w + 7w = 0 32 + 10w = -28 + 0 32 + 10w = -28 Add '-32' to each side of the equation. 32 + -32 + 10w = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 10w = -28 + -32 10w = -28 + -32 Combine like terms: -28 + -32 = -60 10w = -60 Divide each side by '10'. w = -6 Simplifying w = -6
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