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Simplifying 27 + -2z = 63 + -6z Solving 27 + -2z = 63 + -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. 27 + -2z + 6z = 63 + -6z + 6z Combine like terms: -2z + 6z = 4z 27 + 4z = 63 + -6z + 6z Combine like terms: -6z + 6z = 0 27 + 4z = 63 + 0 27 + 4z = 63 Add '-27' to each side of the equation. 27 + -27 + 4z = 63 + -27 Combine like terms: 27 + -27 = 0 0 + 4z = 63 + -27 4z = 63 + -27 Combine like terms: 63 + -27 = 36 4z = 36 Divide each side by '4'. z = 9 Simplifying z = 9
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