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Simplifying 12 + 9z = 8 + -4z Solving 12 + 9z = 8 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 12 + 9z + 4z = 8 + -4z + 4z Combine like terms: 9z + 4z = 13z 12 + 13z = 8 + -4z + 4z Combine like terms: -4z + 4z = 0 12 + 13z = 8 + 0 12 + 13z = 8 Add '-12' to each side of the equation. 12 + -12 + 13z = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 13z = 8 + -12 13z = 8 + -12 Combine like terms: 8 + -12 = -4 13z = -4 Divide each side by '13'. z = -0.3076923077 Simplifying z = -0.3076923077
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