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Simplifying 2(t + 4) + -5t = 29 + -13t Reorder the terms: 2(4 + t) + -5t = 29 + -13t (4 * 2 + t * 2) + -5t = 29 + -13t (8 + 2t) + -5t = 29 + -13t Combine like terms: 2t + -5t = -3t 8 + -3t = 29 + -13t Solving 8 + -3t = 29 + -13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13t' to each side of the equation. 8 + -3t + 13t = 29 + -13t + 13t Combine like terms: -3t + 13t = 10t 8 + 10t = 29 + -13t + 13t Combine like terms: -13t + 13t = 0 8 + 10t = 29 + 0 8 + 10t = 29 Add '-8' to each side of the equation. 8 + -8 + 10t = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 10t = 29 + -8 10t = 29 + -8 Combine like terms: 29 + -8 = 21 10t = 21 Divide each side by '10'. t = 2.1 Simplifying t = 2.1
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