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