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Simplifying 5t + 3 = (2t + -4) Reorder the terms: 3 + 5t = (2t + -4) Reorder the terms: 3 + 5t = (-4 + 2t) Remove parenthesis around (-4 + 2t) 3 + 5t = -4 + 2t Solving 3 + 5t = -4 + 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. 3 + 5t + -2t = -4 + 2t + -2t Combine like terms: 5t + -2t = 3t 3 + 3t = -4 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 3t = -4 + 0 3 + 3t = -4 Add '-3' to each side of the equation. 3 + -3 + 3t = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 3t = -4 + -3 3t = -4 + -3 Combine like terms: -4 + -3 = -7 3t = -7 Divide each side by '3'. t = -2.333333333 Simplifying t = -2.333333333
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