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Simplifying 2t + 5 = (5t + -3) + 7 Reorder the terms: 5 + 2t = (5t + -3) + 7 Reorder the terms: 5 + 2t = (-3 + 5t) + 7 Remove parenthesis around (-3 + 5t) 5 + 2t = -3 + 5t + 7 Reorder the terms: 5 + 2t = -3 + 7 + 5t Combine like terms: -3 + 7 = 4 5 + 2t = 4 + 5t Solving 5 + 2t = 4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 5 + 2t + -5t = 4 + 5t + -5t Combine like terms: 2t + -5t = -3t 5 + -3t = 4 + 5t + -5t Combine like terms: 5t + -5t = 0 5 + -3t = 4 + 0 5 + -3t = 4 Add '-5' to each side of the equation. 5 + -5 + -3t = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -3t = 4 + -5 -3t = 4 + -5 Combine like terms: 4 + -5 = -1 -3t = -1 Divide each side by '-3'. t = 0.3333333333 Simplifying t = 0.3333333333
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