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