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Simplifying 6z + -18 + -12z + 4 = 5 + -2z + 2 Reorder the terms: -18 + 4 + 6z + -12z = 5 + -2z + 2 Combine like terms: -18 + 4 = -14 -14 + 6z + -12z = 5 + -2z + 2 Combine like terms: 6z + -12z = -6z -14 + -6z = 5 + -2z + 2 Reorder the terms: -14 + -6z = 5 + 2 + -2z Combine like terms: 5 + 2 = 7 -14 + -6z = 7 + -2z Solving -14 + -6z = 7 + -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 = 7 + -2z + 2z Combine like terms: -6z + 2z = -4z -14 + -4z = 7 + -2z + 2z Combine like terms: -2z + 2z = 0 -14 + -4z = 7 + 0 -14 + -4z = 7 Add '14' to each side of the equation. -14 + 14 + -4z = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -4z = 7 + 14 -4z = 7 + 14 Combine like terms: 7 + 14 = 21 -4z = 21 Divide each side by '-4'. z = -5.25 Simplifying z = -5.25
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