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Simplifying 10(z + 3) = -5z Reorder the terms: 10(3 + z) = -5z (3 * 10 + z * 10) = -5z (30 + 10z) = -5z Solving 30 + 10z = -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. 30 + 10z + 5z = -5z + 5z Combine like terms: 10z + 5z = 15z 30 + 15z = -5z + 5z Combine like terms: -5z + 5z = 0 30 + 15z = 0 Add '-30' to each side of the equation. 30 + -30 + 15z = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 15z = 0 + -30 15z = 0 + -30 Combine like terms: 0 + -30 = -30 15z = -30 Divide each side by '15'. z = -2 Simplifying z = -2
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