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Simplifying 10 + -3(4z + 1) = 0 Reorder the terms: 10 + -3(1 + 4z) = 0 10 + (1 * -3 + 4z * -3) = 0 10 + (-3 + -12z) = 0 Combine like terms: 10 + -3 = 7 7 + -12z = 0 Solving 7 + -12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -12z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -12z = 0 + -7 -12z = 0 + -7 Combine like terms: 0 + -7 = -7 -12z = -7 Divide each side by '-12'. z = 0.5833333333 Simplifying z = 0.5833333333
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