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Simplifying 10 + 5(z + -2) = -2z + 1 Reorder the terms: 10 + 5(-2 + z) = -2z + 1 10 + (-2 * 5 + z * 5) = -2z + 1 10 + (-10 + 5z) = -2z + 1 Combine like terms: 10 + -10 = 0 0 + 5z = -2z + 1 5z = -2z + 1 Reorder the terms: 5z = 1 + -2z Solving 5z = 1 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 5z + 2z = 1 + -2z + 2z Combine like terms: 5z + 2z = 7z 7z = 1 + -2z + 2z Combine like terms: -2z + 2z = 0 7z = 1 + 0 7z = 1 Divide each side by '7'. z = 0.1428571429 Simplifying z = 0.1428571429
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