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Simplifying 3(4w + 8) = -6(-3w + -16) Reorder the terms: 3(8 + 4w) = -6(-3w + -16) (8 * 3 + 4w * 3) = -6(-3w + -16) (24 + 12w) = -6(-3w + -16) Reorder the terms: 24 + 12w = -6(-16 + -3w) 24 + 12w = (-16 * -6 + -3w * -6) 24 + 12w = (96 + 18w) Solving 24 + 12w = 96 + 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 + 12w + -18w = 96 + 18w + -18w Combine like terms: 12w + -18w = -6w 24 + -6w = 96 + 18w + -18w Combine like terms: 18w + -18w = 0 24 + -6w = 96 + 0 24 + -6w = 96 Add '-24' to each side of the equation. 24 + -24 + -6w = 96 + -24 Combine like terms: 24 + -24 = 0 0 + -6w = 96 + -24 -6w = 96 + -24 Combine like terms: 96 + -24 = 72 -6w = 72 Divide each side by '-6'. w = -12 Simplifying w = -12
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