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Simplifying 6z + -2(10 + -3z) = 10 + -3z 6z + (10 * -2 + -3z * -2) = 10 + -3z 6z + (-20 + 6z) = 10 + -3z Reorder the terms: -20 + 6z + 6z = 10 + -3z Combine like terms: 6z + 6z = 12z -20 + 12z = 10 + -3z Solving -20 + 12z = 10 + -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. -20 + 12z + 3z = 10 + -3z + 3z Combine like terms: 12z + 3z = 15z -20 + 15z = 10 + -3z + 3z Combine like terms: -3z + 3z = 0 -20 + 15z = 10 + 0 -20 + 15z = 10 Add '20' to each side of the equation. -20 + 20 + 15z = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 15z = 10 + 20 15z = 10 + 20 Combine like terms: 10 + 20 = 30 15z = 30 Divide each side by '15'. z = 2 Simplifying z = 2
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