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Simplifying 2(3z + -4) + 4(5z + -2) + 16 = 0 Reorder the terms: 2(-4 + 3z) + 4(5z + -2) + 16 = 0 (-4 * 2 + 3z * 2) + 4(5z + -2) + 16 = 0 (-8 + 6z) + 4(5z + -2) + 16 = 0 Reorder the terms: -8 + 6z + 4(-2 + 5z) + 16 = 0 -8 + 6z + (-2 * 4 + 5z * 4) + 16 = 0 -8 + 6z + (-8 + 20z) + 16 = 0 Reorder the terms: -8 + -8 + 16 + 6z + 20z = 0 Combine like terms: -8 + -8 = -16 -16 + 16 + 6z + 20z = 0 Combine like terms: -16 + 16 = 0 0 + 6z + 20z = 0 6z + 20z = 0 Combine like terms: 6z + 20z = 26z 26z = 0 Solving 26z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '26'. z = 0 Simplifying z = 0
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