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Simplifying 3z + -5(2z + -3) = -6 Reorder the terms: 3z + -5(-3 + 2z) = -6 3z + (-3 * -5 + 2z * -5) = -6 3z + (15 + -10z) = -6 Reorder the terms: 15 + 3z + -10z = -6 Combine like terms: 3z + -10z = -7z 15 + -7z = -6 Solving 15 + -7z = -6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7z = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -7z = -6 + -15 -7z = -6 + -15 Combine like terms: -6 + -15 = -21 -7z = -21 Divide each side by '-7'. z = 3 Simplifying z = 3
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