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Simplifying 3t + -2(7 + -1t) = 5(2t + 1) 3t + (7 * -2 + -1t * -2) = 5(2t + 1) 3t + (-14 + 2t) = 5(2t + 1) Reorder the terms: -14 + 3t + 2t = 5(2t + 1) Combine like terms: 3t + 2t = 5t -14 + 5t = 5(2t + 1) Reorder the terms: -14 + 5t = 5(1 + 2t) -14 + 5t = (1 * 5 + 2t * 5) -14 + 5t = (5 + 10t) Solving -14 + 5t = 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. -14 + 5t + -10t = 5 + 10t + -10t Combine like terms: 5t + -10t = -5t -14 + -5t = 5 + 10t + -10t Combine like terms: 10t + -10t = 0 -14 + -5t = 5 + 0 -14 + -5t = 5 Add '14' to each side of the equation. -14 + 14 + -5t = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -5t = 5 + 14 -5t = 5 + 14 Combine like terms: 5 + 14 = 19 -5t = 19 Divide each side by '-5'. t = -3.8 Simplifying t = -3.8
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