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Simplifying 8 + -2w = 6(w + -8) Reorder the terms: 8 + -2w = 6(-8 + w) 8 + -2w = (-8 * 6 + w * 6) 8 + -2w = (-48 + 6w) Solving 8 + -2w = -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. 8 + -2w + -6w = -48 + 6w + -6w Combine like terms: -2w + -6w = -8w 8 + -8w = -48 + 6w + -6w Combine like terms: 6w + -6w = 0 8 + -8w = -48 + 0 8 + -8w = -48 Add '-8' to each side of the equation. 8 + -8 + -8w = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -8w = -48 + -8 -8w = -48 + -8 Combine like terms: -48 + -8 = -56 -8w = -56 Divide each side by '-8'. w = 7 Simplifying w = 7
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