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Simplifying 5(3z + -1) = 10z + 15 Reorder the terms: 5(-1 + 3z) = 10z + 15 (-1 * 5 + 3z * 5) = 10z + 15 (-5 + 15z) = 10z + 15 Reorder the terms: -5 + 15z = 15 + 10z Solving -5 + 15z = 15 + 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. -5 + 15z + -10z = 15 + 10z + -10z Combine like terms: 15z + -10z = 5z -5 + 5z = 15 + 10z + -10z Combine like terms: 10z + -10z = 0 -5 + 5z = 15 + 0 -5 + 5z = 15 Add '5' to each side of the equation. -5 + 5 + 5z = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 5z = 15 + 5 5z = 15 + 5 Combine like terms: 15 + 5 = 20 5z = 20 Divide each side by '5'. z = 4 Simplifying z = 4
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