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Simplifying 4z + -1 = 10z + -55 Reorder the terms: -1 + 4z = 10z + -55 Reorder the terms: -1 + 4z = -55 + 10z Solving -1 + 4z = -55 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -1 + 4z + -10z = -55 + 10z + -10z Combine like terms: 4z + -10z = -6z -1 + -6z = -55 + 10z + -10z Combine like terms: 10z + -10z = 0 -1 + -6z = -55 + 0 -1 + -6z = -55 Add '1' to each side of the equation. -1 + 1 + -6z = -55 + 1 Combine like terms: -1 + 1 = 0 0 + -6z = -55 + 1 -6z = -55 + 1 Combine like terms: -55 + 1 = -54 -6z = -54 Divide each side by '-6'. z = 9 Simplifying z = 9
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