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Simplifying 6z + 3 + 6 = z + -4 + -2 Reorder the terms: 3 + 6 + 6z = z + -4 + -2 Combine like terms: 3 + 6 = 9 9 + 6z = z + -4 + -2 Reorder the terms: 9 + 6z = -4 + -2 + z Combine like terms: -4 + -2 = -6 9 + 6z = -6 + z Solving 9 + 6z = -6 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 9 + 6z + -1z = -6 + z + -1z Combine like terms: 6z + -1z = 5z 9 + 5z = -6 + z + -1z Combine like terms: z + -1z = 0 9 + 5z = -6 + 0 9 + 5z = -6 Add '-9' to each side of the equation. 9 + -9 + 5z = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 5z = -6 + -9 5z = -6 + -9 Combine like terms: -6 + -9 = -15 5z = -15 Divide each side by '5'. z = -3 Simplifying z = -3
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