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Simplifying 10 + z = 3z + 6 Reorder the terms: 10 + z = 6 + 3z Solving 10 + z = 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 + z + -3z = 6 + 3z + -3z Combine like terms: z + -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 = -4 -2z = -4 Divide each side by '-2'. z = 2 Simplifying z = 2
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