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Simplifying 2(3z + -2 + 2z + 1) = 78 Reorder the terms: 2(-2 + 1 + 3z + 2z) = 78 Combine like terms: -2 + 1 = -1 2(-1 + 3z + 2z) = 78 Combine like terms: 3z + 2z = 5z 2(-1 + 5z) = 78 (-1 * 2 + 5z * 2) = 78 (-2 + 10z) = 78 Solving -2 + 10z = 78 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 10z = 78 + 2 Combine like terms: -2 + 2 = 0 0 + 10z = 78 + 2 10z = 78 + 2 Combine like terms: 78 + 2 = 80 10z = 80 Divide each side by '10'. z = 8 Simplifying z = 8
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