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Simplifying 14t + -4 = 2(5z + 8) + -12 Reorder the terms: -4 + 14t = 2(5z + 8) + -12 Reorder the terms: -4 + 14t = 2(8 + 5z) + -12 -4 + 14t = (8 * 2 + 5z * 2) + -12 -4 + 14t = (16 + 10z) + -12 Reorder the terms: -4 + 14t = 16 + -12 + 10z Combine like terms: 16 + -12 = 4 -4 + 14t = 4 + 10z Solving -4 + 14t = 4 + 10z Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 14t = 4 + 4 + 10z Combine like terms: -4 + 4 = 0 0 + 14t = 4 + 4 + 10z 14t = 4 + 4 + 10z Combine like terms: 4 + 4 = 8 14t = 8 + 10z Divide each side by '14'. t = 0.5714285714 + 0.7142857143z Simplifying t = 0.5714285714 + 0.7142857143z
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