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Simplifying 12t + -10 + 5t + 15 = 90 Reorder the terms: -10 + 15 + 12t + 5t = 90 Combine like terms: -10 + 15 = 5 5 + 12t + 5t = 90 Combine like terms: 12t + 5t = 17t 5 + 17t = 90 Solving 5 + 17t = 90 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 17t = 90 + -5 Combine like terms: 5 + -5 = 0 0 + 17t = 90 + -5 17t = 90 + -5 Combine like terms: 90 + -5 = 85 17t = 85 Divide each side by '17'. t = 5 Simplifying t = 5
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