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Simplifying 10 + -3z = 8 + -6z Solving 10 + -3z = 8 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 10 + -3z + 6z = 8 + -6z + 6z Combine like terms: -3z + 6z = 3z 10 + 3z = 8 + -6z + 6z Combine like terms: -6z + 6z = 0 10 + 3z = 8 + 0 10 + 3z = 8 Add '-10' to each side of the equation. 10 + -10 + 3z = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 3z = 8 + -10 3z = 8 + -10 Combine like terms: 8 + -10 = -2 3z = -2 Divide each side by '3'. z = -0.6666666667 Simplifying z = -0.6666666667
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