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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 = 1z 1z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 1z = 1 + 0 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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