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Simplifying 3t + 13 = 9 + 5t Reorder the terms: 13 + 3t = 9 + 5t Solving 13 + 3t = 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 + 3t + -5t = 9 + 5t + -5t Combine like terms: 3t + -5t = -2t 13 + -2t = 9 + 5t + -5t Combine like terms: 5t + -5t = 0 13 + -2t = 9 + 0 13 + -2t = 9 Add '-13' to each side of the equation. 13 + -13 + -2t = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -2t = 9 + -13 -2t = 9 + -13 Combine like terms: 9 + -13 = -4 -2t = -4 Divide each side by '-2'. t = 2 Simplifying t = 2
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