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Simplifying 10 = 10(z + 5) Reorder the terms: 10 = 10(5 + z) 10 = (5 * 10 + z * 10) 10 = (50 + 10z) Solving 10 = 50 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 10 + -10z = 50 + 10z + -10z Combine like terms: 10z + -10z = 0 10 + -10z = 50 + 0 10 + -10z = 50 Add '-10' to each side of the equation. 10 + -10 + -10z = 50 + -10 Combine like terms: 10 + -10 = 0 0 + -10z = 50 + -10 -10z = 50 + -10 Combine like terms: 50 + -10 = 40 -10z = 40 Divide each side by '-10'. z = -4 Simplifying z = -4
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