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Simplifying -4(3z + -4) + -1(10 + 5z) = 0 Reorder the terms: -4(-4 + 3z) + -1(10 + 5z) = 0 (-4 * -4 + 3z * -4) + -1(10 + 5z) = 0 (16 + -12z) + -1(10 + 5z) = 0 16 + -12z + (10 * -1 + 5z * -1) = 0 16 + -12z + (-10 + -5z) = 0 Reorder the terms: 16 + -10 + -12z + -5z = 0 Combine like terms: 16 + -10 = 6 6 + -12z + -5z = 0 Combine like terms: -12z + -5z = -17z 6 + -17z = 0 Solving 6 + -17z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -17z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -17z = 0 + -6 -17z = 0 + -6 Combine like terms: 0 + -6 = -6 -17z = -6 Divide each side by '-17'. z = 0.3529411765 Simplifying z = 0.3529411765
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