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Simplifying 14z + -9z + -7 + 6 = 2z + -4 + 9 Reorder the terms: -7 + 6 + 14z + -9z = 2z + -4 + 9 Combine like terms: -7 + 6 = -1 -1 + 14z + -9z = 2z + -4 + 9 Combine like terms: 14z + -9z = 5z -1 + 5z = 2z + -4 + 9 Reorder the terms: -1 + 5z = -4 + 9 + 2z Combine like terms: -4 + 9 = 5 -1 + 5z = 5 + 2z Solving -1 + 5z = 5 + 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. -1 + 5z + -2z = 5 + 2z + -2z Combine like terms: 5z + -2z = 3z -1 + 3z = 5 + 2z + -2z Combine like terms: 2z + -2z = 0 -1 + 3z = 5 + 0 -1 + 3z = 5 Add '1' to each side of the equation. -1 + 1 + 3z = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 3z = 5 + 1 3z = 5 + 1 Combine like terms: 5 + 1 = 6 3z = 6 Divide each side by '3'. z = 2 Simplifying z = 2
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