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Simplifying w + 5w + -32 = 2w + -4 Reorder the terms: -32 + w + 5w = 2w + -4 Combine like terms: w + 5w = 6w -32 + 6w = 2w + -4 Reorder the terms: -32 + 6w = -4 + 2w Solving -32 + 6w = -4 + 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 + 6w + -2w = -4 + 2w + -2w Combine like terms: 6w + -2w = 4w -32 + 4w = -4 + 2w + -2w Combine like terms: 2w + -2w = 0 -32 + 4w = -4 + 0 -32 + 4w = -4 Add '32' to each side of the equation. -32 + 32 + 4w = -4 + 32 Combine like terms: -32 + 32 = 0 0 + 4w = -4 + 32 4w = -4 + 32 Combine like terms: -4 + 32 = 28 4w = 28 Divide each side by '4'. w = 7 Simplifying w = 7
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