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Simplifying 4(4x + -9y) + 8(3z + 2y) = 0 (4x * 4 + -9y * 4) + 8(3z + 2y) = 0 (16x + -36y) + 8(3z + 2y) = 0 Reorder the terms: 16x + -36y + 8(2y + 3z) = 0 16x + -36y + (2y * 8 + 3z * 8) = 0 16x + -36y + (16y + 24z) = 0 Combine like terms: -36y + 16y = -20y 16x + -20y + 24z = 0 Solving 16x + -20y + 24z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20y' to each side of the equation. 16x + -20y + 20y + 24z = 0 + 20y Combine like terms: -20y + 20y = 0 16x + 0 + 24z = 0 + 20y 16x + 24z = 0 + 20y Remove the zero: 16x + 24z = 20y Add '-24z' to each side of the equation. 16x + 24z + -24z = 20y + -24z Combine like terms: 24z + -24z = 0 16x + 0 = 20y + -24z 16x = 20y + -24z Divide each side by '16'. x = 1.25y + -1.5z Simplifying x = 1.25y + -1.5z
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