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Simplifying 6(3 + -2z) + 13z + -4 = 0 (3 * 6 + -2z * 6) + 13z + -4 = 0 (18 + -12z) + 13z + -4 = 0 Reorder the terms: 18 + -4 + -12z + 13z = 0 Combine like terms: 18 + -4 = 14 14 + -12z + 13z = 0 Combine like terms: -12z + 13z = 1z 14 + 1z = 0 Solving 14 + 1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 0 + -14 1z = 0 + -14 Combine like terms: 0 + -14 = -14 1z = -14 Divide each side by '1'. z = -14 Simplifying z = -14
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