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Simplifying 4(2z) + -3(w + -2z) = 0 Remove parenthesis around (2z) 4 * 2z + -3(w + -2z) = 0 Multiply 4 * 2 8z + -3(w + -2z) = 0 8z + (w * -3 + -2z * -3) = 0 8z + (-3w + 6z) = 0 Reorder the terms: -3w + 8z + 6z = 0 Combine like terms: 8z + 6z = 14z -3w + 14z = 0 Solving -3w + 14z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14z' to each side of the equation. -3w + 14z + -14z = 0 + -14z Combine like terms: 14z + -14z = 0 -3w + 0 = 0 + -14z -3w = 0 + -14z Remove the zero: -3w = -14z Divide each side by '-3'. w = 4.666666667z Simplifying w = 4.666666667z
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