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Simplifying 12 = 6(w + -2) + 6y Reorder the terms: 12 = 6(-2 + w) + 6y 12 = (-2 * 6 + w * 6) + 6y 12 = (-12 + 6w) + 6y Solving 12 = -12 + 6w + 6y Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 12 + -6w = -12 + 6w + -6w + 6y Combine like terms: 6w + -6w = 0 12 + -6w = -12 + 0 + 6y 12 + -6w = -12 + 6y Add '-12' to each side of the equation. 12 + -12 + -6w = -12 + -12 + 6y Combine like terms: 12 + -12 = 0 0 + -6w = -12 + -12 + 6y -6w = -12 + -12 + 6y Combine like terms: -12 + -12 = -24 -6w = -24 + 6y Divide each side by '-6'. w = 4 + -1y Simplifying w = 4 + -1y
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