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Simplifying (5t + -2) = 3(t + 1) + 6 Reorder the terms: (-2 + 5t) = 3(t + 1) + 6 Remove parenthesis around (-2 + 5t) -2 + 5t = 3(t + 1) + 6 Reorder the terms: -2 + 5t = 3(1 + t) + 6 -2 + 5t = (1 * 3 + t * 3) + 6 -2 + 5t = (3 + 3t) + 6 Reorder the terms: -2 + 5t = 3 + 6 + 3t Combine like terms: 3 + 6 = 9 -2 + 5t = 9 + 3t Solving -2 + 5t = 9 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -2 + 5t + -3t = 9 + 3t + -3t Combine like terms: 5t + -3t = 2t -2 + 2t = 9 + 3t + -3t Combine like terms: 3t + -3t = 0 -2 + 2t = 9 + 0 -2 + 2t = 9 Add '2' to each side of the equation. -2 + 2 + 2t = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 2t = 9 + 2 2t = 9 + 2 Combine like terms: 9 + 2 = 11 2t = 11 Divide each side by '2'. t = 5.5 Simplifying t = 5.5
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