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Simplifying 5t + 13 = 9 + -5t Reorder the terms: 13 + 5t = 9 + -5t Solving 13 + 5t = 9 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 13 + 5t + 5t = 9 + -5t + 5t Combine like terms: 5t + 5t = 10t 13 + 10t = 9 + -5t + 5t Combine like terms: -5t + 5t = 0 13 + 10t = 9 + 0 13 + 10t = 9 Add '-13' to each side of the equation. 13 + -13 + 10t = 9 + -13 Combine like terms: 13 + -13 = 0 0 + 10t = 9 + -13 10t = 9 + -13 Combine like terms: 9 + -13 = -4 10t = -4 Divide each side by '10'. t = -0.4 Simplifying t = -0.4
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