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Simplifying 10 + 2(z + -5) = -3z + 2 Reorder the terms: 10 + 2(-5 + z) = -3z + 2 10 + (-5 * 2 + z * 2) = -3z + 2 10 + (-10 + 2z) = -3z + 2 Combine like terms: 10 + -10 = 0 0 + 2z = -3z + 2 2z = -3z + 2 Reorder the terms: 2z = 2 + -3z Solving 2z = 2 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 2z + 3z = 2 + -3z + 3z Combine like terms: 2z + 3z = 5z 5z = 2 + -3z + 3z Combine like terms: -3z + 3z = 0 5z = 2 + 0 5z = 2 Divide each side by '5'. z = 0.4 Simplifying z = 0.4
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