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Simplifying 13 = 12t + -5 + -3t Reorder the terms: 13 = -5 + 12t + -3t Combine like terms: 12t + -3t = 9t 13 = -5 + 9t Solving 13 = -5 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 13 + -9t = -5 + 9t + -9t Combine like terms: 9t + -9t = 0 13 + -9t = -5 + 0 13 + -9t = -5 Add '-13' to each side of the equation. 13 + -13 + -9t = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -9t = -5 + -13 -9t = -5 + -13 Combine like terms: -5 + -13 = -18 -9t = -18 Divide each side by '-9'. t = 2 Simplifying t = 2
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