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Simplifying 3(2w + 6) + 6 = 6(3w + -4) Reorder the terms: 3(6 + 2w) + 6 = 6(3w + -4) (6 * 3 + 2w * 3) + 6 = 6(3w + -4) (18 + 6w) + 6 = 6(3w + -4) Reorder the terms: 18 + 6 + 6w = 6(3w + -4) Combine like terms: 18 + 6 = 24 24 + 6w = 6(3w + -4) Reorder the terms: 24 + 6w = 6(-4 + 3w) 24 + 6w = (-4 * 6 + 3w * 6) 24 + 6w = (-24 + 18w) Solving 24 + 6w = -24 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. 24 + 6w + -18w = -24 + 18w + -18w Combine like terms: 6w + -18w = -12w 24 + -12w = -24 + 18w + -18w Combine like terms: 18w + -18w = 0 24 + -12w = -24 + 0 24 + -12w = -24 Add '-24' to each side of the equation. 24 + -24 + -12w = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -12w = -24 + -24 -12w = -24 + -24 Combine like terms: -24 + -24 = -48 -12w = -48 Divide each side by '-12'. w = 4 Simplifying w = 4
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