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Simplifying 6w + 36 = 8(w + 4) Reorder the terms: 36 + 6w = 8(w + 4) Reorder the terms: 36 + 6w = 8(4 + w) 36 + 6w = (4 * 8 + w * 8) 36 + 6w = (32 + 8w) Solving 36 + 6w = 32 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 36 + 6w + -8w = 32 + 8w + -8w Combine like terms: 6w + -8w = -2w 36 + -2w = 32 + 8w + -8w Combine like terms: 8w + -8w = 0 36 + -2w = 32 + 0 36 + -2w = 32 Add '-36' to each side of the equation. 36 + -36 + -2w = 32 + -36 Combine like terms: 36 + -36 = 0 0 + -2w = 32 + -36 -2w = 32 + -36 Combine like terms: 32 + -36 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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