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Simplifying (-4z + -8) + z = -13 Reorder the terms: (-8 + -4z) + z = -13 Remove parenthesis around (-8 + -4z) -8 + -4z + z = -13 Combine like terms: -4z + z = -3z -8 + -3z = -13 Solving -8 + -3z = -13 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3z = -13 + 8 Combine like terms: -8 + 8 = 0 0 + -3z = -13 + 8 -3z = -13 + 8 Combine like terms: -13 + 8 = -5 -3z = -5 Divide each side by '-3'. z = 1.666666667 Simplifying z = 1.666666667
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