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Simplifying 4(-3z + 3) = -10(z + -6) + -14z Reorder the terms: 4(3 + -3z) = -10(z + -6) + -14z (3 * 4 + -3z * 4) = -10(z + -6) + -14z (12 + -12z) = -10(z + -6) + -14z Reorder the terms: 12 + -12z = -10(-6 + z) + -14z 12 + -12z = (-6 * -10 + z * -10) + -14z 12 + -12z = (60 + -10z) + -14z Combine like terms: -10z + -14z = -24z 12 + -12z = 60 + -24z Solving 12 + -12z = 60 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. 12 + -12z + 24z = 60 + -24z + 24z Combine like terms: -12z + 24z = 12z 12 + 12z = 60 + -24z + 24z Combine like terms: -24z + 24z = 0 12 + 12z = 60 + 0 12 + 12z = 60 Add '-12' to each side of the equation. 12 + -12 + 12z = 60 + -12 Combine like terms: 12 + -12 = 0 0 + 12z = 60 + -12 12z = 60 + -12 Combine like terms: 60 + -12 = 48 12z = 48 Divide each side by '12'. z = 4 Simplifying z = 4
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