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Simplifying 6z + -14 = -38 + 2z Reorder the terms: -14 + 6z = -38 + 2z Solving -14 + 6z = -38 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -14 + 6z + -2z = -38 + 2z + -2z Combine like terms: 6z + -2z = 4z -14 + 4z = -38 + 2z + -2z Combine like terms: 2z + -2z = 0 -14 + 4z = -38 + 0 -14 + 4z = -38 Add '14' to each side of the equation. -14 + 14 + 4z = -38 + 14 Combine like terms: -14 + 14 = 0 0 + 4z = -38 + 14 4z = -38 + 14 Combine like terms: -38 + 14 = -24 4z = -24 Divide each side by '4'. z = -6 Simplifying z = -6
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