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Simplifying 6(w + z) = 10y + -7 (w * 6 + z * 6) = 10y + -7 (6w + 6z) = 10y + -7 Reorder the terms: 6w + 6z = -7 + 10y Solving 6w + 6z = -7 + 10y Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6z' to each side of the equation. 6w + 6z + -6z = -7 + 10y + -6z Combine like terms: 6z + -6z = 0 6w + 0 = -7 + 10y + -6z 6w = -7 + 10y + -6z Divide each side by '6'. w = -1.166666667 + 1.666666667y + -1z Simplifying w = -1.166666667 + 1.666666667y + -1z
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