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Simplifying 10 + 5(z + -2) = 42 + 5 Reorder the terms: 10 + 5(-2 + z) = 42 + 5 10 + (-2 * 5 + z * 5) = 42 + 5 10 + (-10 + 5z) = 42 + 5 Combine like terms: 10 + -10 = 0 0 + 5z = 42 + 5 5z = 42 + 5 Combine like terms: 42 + 5 = 47 5z = 47 Solving 5z = 47 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '5'. z = 9.4 Simplifying z = 9.4
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