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Simplifying 3z + 2(-5z) + 6 = 0 Remove parenthesis around (-5z) 3z + 2 * -5z + 6 = 0 Multiply 2 * -5 3z + -10z + 6 = 0 Reorder the terms: 6 + 3z + -10z = 0 Combine like terms: 3z + -10z = -7z 6 + -7z = 0 Solving 6 + -7z = 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 + -7z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7z = 0 + -6 -7z = 0 + -6 Combine like terms: 0 + -6 = -6 -7z = -6 Divide each side by '-7'. z = 0.8571428571 Simplifying z = 0.8571428571
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