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Simplifying 5z + -2(z + -6) = 2 + 42 Reorder the terms: 5z + -2(-6 + z) = 2 + 42 5z + (-6 * -2 + z * -2) = 2 + 42 5z + (12 + -2z) = 2 + 42 Reorder the terms: 12 + 5z + -2z = 2 + 42 Combine like terms: 5z + -2z = 3z 12 + 3z = 2 + 42 Combine like terms: 2 + 42 = 44 12 + 3z = 44 Solving 12 + 3z = 44 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3z = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 44 + -12 3z = 44 + -12 Combine like terms: 44 + -12 = 32 3z = 32 Divide each side by '3'. z = 10.66666667 Simplifying z = 10.66666667
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