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Simplifying 32 = -6w + 4(w + 7) Reorder the terms: 32 = -6w + 4(7 + w) 32 = -6w + (7 * 4 + w * 4) 32 = -6w + (28 + 4w) Reorder the terms: 32 = 28 + -6w + 4w Combine like terms: -6w + 4w = -2w 32 = 28 + -2w Solving 32 = 28 + -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 + 2w = 28 + -2w + 2w Combine like terms: -2w + 2w = 0 32 + 2w = 28 + 0 32 + 2w = 28 Add '-32' to each side of the equation. 32 + -32 + 2w = 28 + -32 Combine like terms: 32 + -32 = 0 0 + 2w = 28 + -32 2w = 28 + -32 Combine like terms: 28 + -32 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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