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Simplifying -6 + -1z = 9 + 4z Solving -6 + -1z = 9 + 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. -6 + -1z + -4z = 9 + 4z + -4z Combine like terms: -1z + -4z = -5z -6 + -5z = 9 + 4z + -4z Combine like terms: 4z + -4z = 0 -6 + -5z = 9 + 0 -6 + -5z = 9 Add '6' to each side of the equation. -6 + 6 + -5z = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -5z = 9 + 6 -5z = 9 + 6 Combine like terms: 9 + 6 = 15 -5z = 15 Divide each side by '-5'. z = -3 Simplifying z = -3
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