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Simplifying 2z + -6 = -38 + 6z Reorder the terms: -6 + 2z = -38 + 6z Solving -6 + 2z = -38 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -6 + 2z + -6z = -38 + 6z + -6z Combine like terms: 2z + -6z = -4z -6 + -4z = -38 + 6z + -6z Combine like terms: 6z + -6z = 0 -6 + -4z = -38 + 0 -6 + -4z = -38 Add '6' to each side of the equation. -6 + 6 + -4z = -38 + 6 Combine like terms: -6 + 6 = 0 0 + -4z = -38 + 6 -4z = -38 + 6 Combine like terms: -38 + 6 = -32 -4z = -32 Divide each side by '-4'. z = 8 Simplifying z = 8
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