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Simplifying 11z + -6t + 3z + 83 = 0 Reorder the terms: 83 + -6t + 11z + 3z = 0 Combine like terms: 11z + 3z = 14z 83 + -6t + 14z = 0 Solving 83 + -6t + 14z = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-83' to each side of the equation. 83 + -6t + -83 + 14z = 0 + -83 Reorder the terms: 83 + -83 + -6t + 14z = 0 + -83 Combine like terms: 83 + -83 = 0 0 + -6t + 14z = 0 + -83 -6t + 14z = 0 + -83 Combine like terms: 0 + -83 = -83 -6t + 14z = -83 Add '-14z' to each side of the equation. -6t + 14z + -14z = -83 + -14z Combine like terms: 14z + -14z = 0 -6t + 0 = -83 + -14z -6t = -83 + -14z Divide each side by '-6'. t = 13.83333333 + 2.333333333z Simplifying t = 13.83333333 + 2.333333333z
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