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Simplifying 48 = 2(w * 2) + 2w Reorder the terms for easier multiplication: 48 = 2(2w) + 2w Remove parenthesis around (2w) 48 = 2 * 2w + 2w Multiply 2 * 2 48 = 4w + 2w Combine like terms: 4w + 2w = 6w 48 = 6w Solving 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. 48 + -6w = 6w + -6w Combine like terms: 6w + -6w = 0 48 + -6w = 0 Add '-48' to each side of the equation. 48 + -48 + -6w = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -6w = 0 + -48 -6w = 0 + -48 Combine like terms: 0 + -48 = -48 -6w = -48 Divide each side by '-6'. w = 8 Simplifying w = 8
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