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Simplifying 10 + 5(z + -2) = -3z + 3 Reorder the terms: 10 + 5(-2 + z) = -3z + 3 10 + (-2 * 5 + z * 5) = -3z + 3 10 + (-10 + 5z) = -3z + 3 Combine like terms: 10 + -10 = 0 0 + 5z = -3z + 3 5z = -3z + 3 Reorder the terms: 5z = 3 + -3z Solving 5z = 3 + -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. 5z + 3z = 3 + -3z + 3z Combine like terms: 5z + 3z = 8z 8z = 3 + -3z + 3z Combine like terms: -3z + 3z = 0 8z = 3 + 0 8z = 3 Divide each side by '8'. z = 0.375 Simplifying z = 0.375
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