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Simplifying -7 + -13z + 15 + 16z = 57 + -5z + 4z + -52 Reorder the terms: -7 + 15 + -13z + 16z = 57 + -5z + 4z + -52 Combine like terms: -7 + 15 = 8 8 + -13z + 16z = 57 + -5z + 4z + -52 Combine like terms: -13z + 16z = 3z 8 + 3z = 57 + -5z + 4z + -52 Reorder the terms: 8 + 3z = 57 + -52 + -5z + 4z Combine like terms: 57 + -52 = 5 8 + 3z = 5 + -5z + 4z Combine like terms: -5z + 4z = -1z 8 + 3z = 5 + -1z Solving 8 + 3z = 5 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 8 + 3z + z = 5 + -1z + z Combine like terms: 3z + z = 4z 8 + 4z = 5 + -1z + z Combine like terms: -1z + z = 0 8 + 4z = 5 + 0 8 + 4z = 5 Add '-8' to each side of the equation. 8 + -8 + 4z = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 4z = 5 + -8 4z = 5 + -8 Combine like terms: 5 + -8 = -3 4z = -3 Divide each side by '4'. z = -0.75 Simplifying z = -0.75
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