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Simplifying 2(3t + 4) = 5(2t + -1) Reorder the terms: 2(4 + 3t) = 5(2t + -1) (4 * 2 + 3t * 2) = 5(2t + -1) (8 + 6t) = 5(2t + -1) Reorder the terms: 8 + 6t = 5(-1 + 2t) 8 + 6t = (-1 * 5 + 2t * 5) 8 + 6t = (-5 + 10t) Solving 8 + 6t = -5 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 8 + 6t + -10t = -5 + 10t + -10t Combine like terms: 6t + -10t = -4t 8 + -4t = -5 + 10t + -10t Combine like terms: 10t + -10t = 0 8 + -4t = -5 + 0 8 + -4t = -5 Add '-8' to each side of the equation. 8 + -8 + -4t = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = -5 + -8 -4t = -5 + -8 Combine like terms: -5 + -8 = -13 -4t = -13 Divide each side by '-4'. t = 3.25 Simplifying t = 3.25
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