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Simplifying 5 + -6z = -5 + -4z Solving 5 + -6z = -5 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 5 + -6z + 4z = -5 + -4z + 4z Combine like terms: -6z + 4z = -2z 5 + -2z = -5 + -4z + 4z Combine like terms: -4z + 4z = 0 5 + -2z = -5 + 0 5 + -2z = -5 Add '-5' to each side of the equation. 5 + -5 + -2z = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -2z = -5 + -5 -2z = -5 + -5 Combine like terms: -5 + -5 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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