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Simplifying 5 + -1(t + 3) = 1 + (2t + -3) Reorder the terms: 5 + -1(3 + t) = 1 + (2t + -3) 5 + (3 * -1 + t * -1) = 1 + (2t + -3) 5 + (-3 + -1t) = 1 + (2t + -3) Combine like terms: 5 + -3 = 2 2 + -1t = 1 + (2t + -3) Reorder the terms: 2 + -1t = 1 + (-3 + 2t) Remove parenthesis around (-3 + 2t) 2 + -1t = 1 + -3 + 2t Combine like terms: 1 + -3 = -2 2 + -1t = -2 + 2t Solving 2 + -1t = -2 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 2 + -1t + -2t = -2 + 2t + -2t Combine like terms: -1t + -2t = -3t 2 + -3t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 2 + -3t = -2 + 0 2 + -3t = -2 Add '-2' to each side of the equation. 2 + -2 + -3t = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = -2 + -2 -3t = -2 + -2 Combine like terms: -2 + -2 = -4 -3t = -4 Divide each side by '-3'. t = 1.333333333 Simplifying t = 1.333333333
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