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Simplifying 6z + 12z + -18 + -5z = -12z + 4z + -11 + z Reorder the terms: -18 + 6z + 12z + -5z = -12z + 4z + -11 + z Combine like terms: 6z + 12z = 18z -18 + 18z + -5z = -12z + 4z + -11 + z Combine like terms: 18z + -5z = 13z -18 + 13z = -12z + 4z + -11 + z Reorder the terms: -18 + 13z = -11 + -12z + 4z + z Combine like terms: -12z + 4z = -8z -18 + 13z = -11 + -8z + z Combine like terms: -8z + z = -7z -18 + 13z = -11 + -7z Solving -18 + 13z = -11 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -18 + 13z + 7z = -11 + -7z + 7z Combine like terms: 13z + 7z = 20z -18 + 20z = -11 + -7z + 7z Combine like terms: -7z + 7z = 0 -18 + 20z = -11 + 0 -18 + 20z = -11 Add '18' to each side of the equation. -18 + 18 + 20z = -11 + 18 Combine like terms: -18 + 18 = 0 0 + 20z = -11 + 18 20z = -11 + 18 Combine like terms: -11 + 18 = 7 20z = 7 Divide each side by '20'. z = 0.35 Simplifying z = 0.35
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