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Simplifying 5 + 8z + -4 = 5z + 19 + -32 Reorder the terms: 5 + -4 + 8z = 5z + 19 + -32 Combine like terms: 5 + -4 = 1 1 + 8z = 5z + 19 + -32 Reorder the terms: 1 + 8z = 19 + -32 + 5z Combine like terms: 19 + -32 = -13 1 + 8z = -13 + 5z Solving 1 + 8z = -13 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 1 + 8z + -5z = -13 + 5z + -5z Combine like terms: 8z + -5z = 3z 1 + 3z = -13 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + 3z = -13 + 0 1 + 3z = -13 Add '-1' to each side of the equation. 1 + -1 + 3z = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = -13 + -1 3z = -13 + -1 Combine like terms: -13 + -1 = -14 3z = -14 Divide each side by '3'. z = -4.666666667 Simplifying z = -4.666666667
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