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Simplifying 3(2z + 5) + -2(z + -5) = 0 Reorder the terms: 3(5 + 2z) + -2(z + -5) = 0 (5 * 3 + 2z * 3) + -2(z + -5) = 0 (15 + 6z) + -2(z + -5) = 0 Reorder the terms: 15 + 6z + -2(-5 + z) = 0 15 + 6z + (-5 * -2 + z * -2) = 0 15 + 6z + (10 + -2z) = 0 Reorder the terms: 15 + 10 + 6z + -2z = 0 Combine like terms: 15 + 10 = 25 25 + 6z + -2z = 0 Combine like terms: 6z + -2z = 4z 25 + 4z = 0 Solving 25 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4z = 0 + -25 4z = 0 + -25 Combine like terms: 0 + -25 = -25 4z = -25 Divide each side by '4'. z = -6.25 Simplifying z = -6.25
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