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Simplifying 2(3z + -2) + 2(2z) = 66 Reorder the terms: 2(-2 + 3z) + 2(2z) = 66 (-2 * 2 + 3z * 2) + 2(2z) = 66 (-4 + 6z) + 2(2z) = 66 Remove parenthesis around (2z) -4 + 6z + 2 * 2z = 66 Multiply 2 * 2 -4 + 6z + 4z = 66 Combine like terms: 6z + 4z = 10z -4 + 10z = 66 Solving -4 + 10z = 66 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 10z = 66 + 4 Combine like terms: -4 + 4 = 0 0 + 10z = 66 + 4 10z = 66 + 4 Combine like terms: 66 + 4 = 70 10z = 70 Divide each side by '10'. z = 7 Simplifying z = 7
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