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Simplifying 10 + 5(z + -2) = -4z + 1 Reorder the terms: 10 + 5(-2 + z) = -4z + 1 10 + (-2 * 5 + z * 5) = -4z + 1 10 + (-10 + 5z) = -4z + 1 Combine like terms: 10 + -10 = 0 0 + 5z = -4z + 1 5z = -4z + 1 Reorder the terms: 5z = 1 + -4z Solving 5z = 1 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 5z + 4z = 1 + -4z + 4z Combine like terms: 5z + 4z = 9z 9z = 1 + -4z + 4z Combine like terms: -4z + 4z = 0 9z = 1 + 0 9z = 1 Divide each side by '9'. z = 0.1111111111 Simplifying z = 0.1111111111
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