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Simplifying 12z + -1(42 + 6) = 82 Combine like terms: 42 + 6 = 48 12z + -1(48) = 82 Multiply -1 * 48 12z + -48 = 82 Reorder the terms: -48 + 12z = 82 Solving -48 + 12z = 82 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 12z = 82 + 48 Combine like terms: -48 + 48 = 0 0 + 12z = 82 + 48 12z = 82 + 48 Combine like terms: 82 + 48 = 130 12z = 130 Divide each side by '12'. z = 10.83333333 Simplifying z = 10.83333333
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