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Simplifying 4w + 32 = 6(w + 8) Reorder the terms: 32 + 4w = 6(w + 8) Reorder the terms: 32 + 4w = 6(8 + w) 32 + 4w = (8 * 6 + w * 6) 32 + 4w = (48 + 6w) Solving 32 + 4w = 48 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 32 + 4w + -6w = 48 + 6w + -6w Combine like terms: 4w + -6w = -2w 32 + -2w = 48 + 6w + -6w Combine like terms: 6w + -6w = 0 32 + -2w = 48 + 0 32 + -2w = 48 Add '-32' to each side of the equation. 32 + -32 + -2w = 48 + -32 Combine like terms: 32 + -32 = 0 0 + -2w = 48 + -32 -2w = 48 + -32 Combine like terms: 48 + -32 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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