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Simplifying (-10) + 5z = 6 + 3z -10 + 5z = 6 + 3z Solving -10 + 5z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -10 + 5z + -3z = 6 + 3z + -3z Combine like terms: 5z + -3z = 2z -10 + 2z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -10 + 2z = 6 + 0 -10 + 2z = 6 Add '10' to each side of the equation. -10 + 10 + 2z = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2z = 6 + 10 2z = 6 + 10 Combine like terms: 6 + 10 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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