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Simplifying 6z + 10 + -3z = 5 + 2z + 2 Reorder the terms: 10 + 6z + -3z = 5 + 2z + 2 Combine like terms: 6z + -3z = 3z 10 + 3z = 5 + 2z + 2 Reorder the terms: 10 + 3z = 5 + 2 + 2z Combine like terms: 5 + 2 = 7 10 + 3z = 7 + 2z Solving 10 + 3z = 7 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 10 + 3z + -2z = 7 + 2z + -2z Combine like terms: 3z + -2z = 1z 10 + 1z = 7 + 2z + -2z Combine like terms: 2z + -2z = 0 10 + 1z = 7 + 0 10 + 1z = 7 Add '-10' to each side of the equation. 10 + -10 + 1z = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 7 + -10 1z = 7 + -10 Combine like terms: 7 + -10 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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