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Simplifying 6(2w + 8) = 4(5w + -6) Reorder the terms: 6(8 + 2w) = 4(5w + -6) (8 * 6 + 2w * 6) = 4(5w + -6) (48 + 12w) = 4(5w + -6) Reorder the terms: 48 + 12w = 4(-6 + 5w) 48 + 12w = (-6 * 4 + 5w * 4) 48 + 12w = (-24 + 20w) Solving 48 + 12w = -24 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 48 + 12w + -20w = -24 + 20w + -20w Combine like terms: 12w + -20w = -8w 48 + -8w = -24 + 20w + -20w Combine like terms: 20w + -20w = 0 48 + -8w = -24 + 0 48 + -8w = -24 Add '-48' to each side of the equation. 48 + -48 + -8w = -24 + -48 Combine like terms: 48 + -48 = 0 0 + -8w = -24 + -48 -8w = -24 + -48 Combine like terms: -24 + -48 = -72 -8w = -72 Divide each side by '-8'. w = 9 Simplifying w = 9
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