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Simplifying -6z + -5z + 10 = -10 + -9z Reorder the terms: 10 + -6z + -5z = -10 + -9z Combine like terms: -6z + -5z = -11z 10 + -11z = -10 + -9z Solving 10 + -11z = -10 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 10 + -11z + 9z = -10 + -9z + 9z Combine like terms: -11z + 9z = -2z 10 + -2z = -10 + -9z + 9z Combine like terms: -9z + 9z = 0 10 + -2z = -10 + 0 10 + -2z = -10 Add '-10' to each side of the equation. 10 + -10 + -2z = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -2z = -10 + -10 -2z = -10 + -10 Combine like terms: -10 + -10 = -20 -2z = -20 Divide each side by '-2'. z = 10 Simplifying z = 10
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