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Simplifying -4 + 4(-3z + -5) = 2(-3z + 5) + -2 Reorder the terms: -4 + 4(-5 + -3z) = 2(-3z + 5) + -2 -4 + (-5 * 4 + -3z * 4) = 2(-3z + 5) + -2 -4 + (-20 + -12z) = 2(-3z + 5) + -2 Combine like terms: -4 + -20 = -24 -24 + -12z = 2(-3z + 5) + -2 Reorder the terms: -24 + -12z = 2(5 + -3z) + -2 -24 + -12z = (5 * 2 + -3z * 2) + -2 -24 + -12z = (10 + -6z) + -2 Reorder the terms: -24 + -12z = 10 + -2 + -6z Combine like terms: 10 + -2 = 8 -24 + -12z = 8 + -6z Solving -24 + -12z = 8 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -24 + -12z + 6z = 8 + -6z + 6z Combine like terms: -12z + 6z = -6z -24 + -6z = 8 + -6z + 6z Combine like terms: -6z + 6z = 0 -24 + -6z = 8 + 0 -24 + -6z = 8 Add '24' to each side of the equation. -24 + 24 + -6z = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -6z = 8 + 24 -6z = 8 + 24 Combine like terms: 8 + 24 = 32 -6z = 32 Divide each side by '-6'. z = -5.333333333 Simplifying z = -5.333333333
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