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