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