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Simplifying 6 + -10z = -9 + 5z Solving 6 + -10z = -9 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 6 + -10z + -5z = -9 + 5z + -5z Combine like terms: -10z + -5z = -15z 6 + -15z = -9 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + -15z = -9 + 0 6 + -15z = -9 Add '-6' to each side of the equation. 6 + -6 + -15z = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -15z = -9 + -6 -15z = -9 + -6 Combine like terms: -9 + -6 = -15 -15z = -15 Divide each side by '-15'. z = 1 Simplifying z = 1
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