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Simplifying (2t + 1) + -3(2t + -5) = 29 Reorder the terms: (1 + 2t) + -3(2t + -5) = 29 Remove parenthesis around (1 + 2t) 1 + 2t + -3(2t + -5) = 29 Reorder the terms: 1 + 2t + -3(-5 + 2t) = 29 1 + 2t + (-5 * -3 + 2t * -3) = 29 1 + 2t + (15 + -6t) = 29 Reorder the terms: 1 + 15 + 2t + -6t = 29 Combine like terms: 1 + 15 = 16 16 + 2t + -6t = 29 Combine like terms: 2t + -6t = -4t 16 + -4t = 29 Solving 16 + -4t = 29 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4t = 29 + -16 Combine like terms: 16 + -16 = 0 0 + -4t = 29 + -16 -4t = 29 + -16 Combine like terms: 29 + -16 = 13 -4t = 13 Divide each side by '-4'. t = -3.25 Simplifying t = -3.25
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