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Simplifying 8(w + -3) = 2w + 12 Reorder the terms: 8(-3 + w) = 2w + 12 (-3 * 8 + w * 8) = 2w + 12 (-24 + 8w) = 2w + 12 Reorder the terms: -24 + 8w = 12 + 2w Solving -24 + 8w = 12 + 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. -24 + 8w + -2w = 12 + 2w + -2w Combine like terms: 8w + -2w = 6w -24 + 6w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 -24 + 6w = 12 + 0 -24 + 6w = 12 Add '24' to each side of the equation. -24 + 24 + 6w = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 6w = 12 + 24 6w = 12 + 24 Combine like terms: 12 + 24 = 36 6w = 36 Divide each side by '6'. w = 6 Simplifying w = 6
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