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Simplifying 10(3z + 1) = 5z + -5 Reorder the terms: 10(1 + 3z) = 5z + -5 (1 * 10 + 3z * 10) = 5z + -5 (10 + 30z) = 5z + -5 Reorder the terms: 10 + 30z = -5 + 5z Solving 10 + 30z = -5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 10 + 30z + -5z = -5 + 5z + -5z Combine like terms: 30z + -5z = 25z 10 + 25z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 10 + 25z = -5 + 0 10 + 25z = -5 Add '-10' to each side of the equation. 10 + -10 + 25z = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 25z = -5 + -10 25z = -5 + -10 Combine like terms: -5 + -10 = -15 25z = -15 Divide each side by '25'. z = -0.6 Simplifying z = -0.6
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