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Simplifying 6(8 + -1w) = 2w (8 * 6 + -1w * 6) = 2w (48 + -6w) = 2w Solving 48 + -6w = 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. 48 + -6w + -2w = 2w + -2w Combine like terms: -6w + -2w = -8w 48 + -8w = 2w + -2w Combine like terms: 2w + -2w = 0 48 + -8w = 0 Add '-48' to each side of the equation. 48 + -48 + -8w = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -8w = 0 + -48 -8w = 0 + -48 Combine like terms: 0 + -48 = -48 -8w = -48 Divide each side by '-8'. w = 6 Simplifying w = 6
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