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Simplifying 6z + -4 = 11z + -45 Reorder the terms: -4 + 6z = 11z + -45 Reorder the terms: -4 + 6z = -45 + 11z Solving -4 + 6z = -45 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -4 + 6z + -11z = -45 + 11z + -11z Combine like terms: 6z + -11z = -5z -4 + -5z = -45 + 11z + -11z Combine like terms: 11z + -11z = 0 -4 + -5z = -45 + 0 -4 + -5z = -45 Add '4' to each side of the equation. -4 + 4 + -5z = -45 + 4 Combine like terms: -4 + 4 = 0 0 + -5z = -45 + 4 -5z = -45 + 4 Combine like terms: -45 + 4 = -41 -5z = -41 Divide each side by '-5'. z = 8.2 Simplifying z = 8.2
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