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Simplifying (5t + -3) = 2(t + 1) + 2 Reorder the terms: (-3 + 5t) = 2(t + 1) + 2 Remove parenthesis around (-3 + 5t) -3 + 5t = 2(t + 1) + 2 Reorder the terms: -3 + 5t = 2(1 + t) + 2 -3 + 5t = (1 * 2 + t * 2) + 2 -3 + 5t = (2 + 2t) + 2 Reorder the terms: -3 + 5t = 2 + 2 + 2t Combine like terms: 2 + 2 = 4 -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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