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Simplifying z + -4 = 3z + -2 Reorder the terms: -4 + z = 3z + -2 Reorder the terms: -4 + z = -2 + 3z Solving -4 + z = -2 + 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. -4 + z + -3z = -2 + 3z + -3z Combine like terms: z + -3z = -2z -4 + -2z = -2 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 + -2z = -2 + 0 -4 + -2z = -2 Add '4' to each side of the equation. -4 + 4 + -2z = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -2z = -2 + 4 -2z = -2 + 4 Combine like terms: -2 + 4 = 2 -2z = 2 Divide each side by '-2'. z = -1 Simplifying z = -1
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