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Simplifying 7t + -13 + -2t = 9t + 5t Reorder the terms: -13 + 7t + -2t = 9t + 5t Combine like terms: 7t + -2t = 5t -13 + 5t = 9t + 5t Combine like terms: 9t + 5t = 14t -13 + 5t = 14t Solving -13 + 5t = 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -13 + 5t + -14t = 14t + -14t Combine like terms: 5t + -14t = -9t -13 + -9t = 14t + -14t Combine like terms: 14t + -14t = 0 -13 + -9t = 0 Add '13' to each side of the equation. -13 + 13 + -9t = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -9t = 0 + 13 -9t = 0 + 13 Combine like terms: 0 + 13 = 13 -9t = 13 Divide each side by '-9'. t = -1.444444444 Simplifying t = -1.444444444
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