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Simplifying -2(3w + 4) = 2w + 16 Reorder the terms: -2(4 + 3w) = 2w + 16 (4 * -2 + 3w * -2) = 2w + 16 (-8 + -6w) = 2w + 16 Reorder the terms: -8 + -6w = 16 + 2w Solving -8 + -6w = 16 + 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. -8 + -6w + -2w = 16 + 2w + -2w Combine like terms: -6w + -2w = -8w -8 + -8w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + -8w = 16 + 0 -8 + -8w = 16 Add '8' to each side of the equation. -8 + 8 + -8w = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -8w = 16 + 8 -8w = 16 + 8 Combine like terms: 16 + 8 = 24 -8w = 24 Divide each side by '-8'. w = -3 Simplifying w = -3
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