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Simplifying 5z + -10 + -1z = 8z + 55 + z Reorder the terms: -10 + 5z + -1z = 8z + 55 + z Combine like terms: 5z + -1z = 4z -10 + 4z = 8z + 55 + z Reorder the terms: -10 + 4z = 55 + 8z + z Combine like terms: 8z + z = 9z -10 + 4z = 55 + 9z Solving -10 + 4z = 55 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -10 + 4z + -9z = 55 + 9z + -9z Combine like terms: 4z + -9z = -5z -10 + -5z = 55 + 9z + -9z Combine like terms: 9z + -9z = 0 -10 + -5z = 55 + 0 -10 + -5z = 55 Add '10' to each side of the equation. -10 + 10 + -5z = 55 + 10 Combine like terms: -10 + 10 = 0 0 + -5z = 55 + 10 -5z = 55 + 10 Combine like terms: 55 + 10 = 65 -5z = 65 Divide each side by '-5'. z = -13 Simplifying z = -13
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