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Simplifying z + 6 = 3z + -8 Reorder the terms: 6 + z = 3z + -8 Reorder the terms: 6 + z = -8 + 3z Solving 6 + z = -8 + 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. 6 + z + -3z = -8 + 3z + -3z Combine like terms: z + -3z = -2z 6 + -2z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 6 + -2z = -8 + 0 6 + -2z = -8 Add '-6' to each side of the equation. 6 + -6 + -2z = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2z = -8 + -6 -2z = -8 + -6 Combine like terms: -8 + -6 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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