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Simplifying -10 + 3z = 8 + z Solving -10 + 3z = 8 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -10 + 3z + -1z = 8 + z + -1z Combine like terms: 3z + -1z = 2z -10 + 2z = 8 + z + -1z Combine like terms: z + -1z = 0 -10 + 2z = 8 + 0 -10 + 2z = 8 Add '10' to each side of the equation. -10 + 10 + 2z = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 2z = 8 + 10 2z = 8 + 10 Combine like terms: 8 + 10 = 18 2z = 18 Divide each side by '2'. z = 9 Simplifying z = 9
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