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Simplifying 2t + 13 = 5t + -8 Reorder the terms: 13 + 2t = 5t + -8 Reorder the terms: 13 + 2t = -8 + 5t Solving 13 + 2t = -8 + 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 + 2t + -5t = -8 + 5t + -5t Combine like terms: 2t + -5t = -3t 13 + -3t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 13 + -3t = -8 + 0 13 + -3t = -8 Add '-13' to each side of the equation. 13 + -13 + -3t = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -3t = -8 + -13 -3t = -8 + -13 Combine like terms: -8 + -13 = -21 -3t = -21 Divide each side by '-3'. t = 7 Simplifying t = 7
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