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Simplifying -3z + 1 + -5 = 5 + -4 Reorder the terms: 1 + -5 + -3z = 5 + -4 Combine like terms: 1 + -5 = -4 -4 + -3z = 5 + -4 Combine like terms: 5 + -4 = 1 -4 + -3z = 1 Solving -4 + -3z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3z = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -3z = 1 + 4 -3z = 1 + 4 Combine like terms: 1 + 4 = 5 -3z = 5 Divide each side by '-3'. z = -1.666666667 Simplifying z = -1.666666667
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