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Simplifying 8(w + -6) = 2w Reorder the terms: 8(-6 + w) = 2w (-6 * 8 + w * 8) = 2w (-48 + 8w) = 2w Solving -48 + 8w = 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 + 8w + -2w = 2w + -2w Combine like terms: 8w + -2w = 6w -48 + 6w = 2w + -2w Combine like terms: 2w + -2w = 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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