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Simplifying (-8z + -3z + 5) + (-3z + 9z + 2) = 0 Reorder the terms: (5 + -8z + -3z) + (-3z + 9z + 2) = 0 Combine like terms: -8z + -3z = -11z (5 + -11z) + (-3z + 9z + 2) = 0 Remove parenthesis around (5 + -11z) 5 + -11z + (-3z + 9z + 2) = 0 Reorder the terms: 5 + -11z + (2 + -3z + 9z) = 0 Combine like terms: -3z + 9z = 6z 5 + -11z + (2 + 6z) = 0 Remove parenthesis around (2 + 6z) 5 + -11z + 2 + 6z = 0 Reorder the terms: 5 + 2 + -11z + 6z = 0 Combine like terms: 5 + 2 = 7 7 + -11z + 6z = 0 Combine like terms: -11z + 6z = -5z 7 + -5z = 0 Solving 7 + -5z = 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 + -5z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5z = 0 + -7 -5z = 0 + -7 Combine like terms: 0 + -7 = -7 -5z = -7 Divide each side by '-5'. z = 1.4 Simplifying z = 1.4
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