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Simplifying (5t + -2) = 2(t + 1) + 4 Reorder the terms: (-2 + 5t) = 2(t + 1) + 4 Remove parenthesis around (-2 + 5t) -2 + 5t = 2(t + 1) + 4 Reorder the terms: -2 + 5t = 2(1 + t) + 4 -2 + 5t = (1 * 2 + t * 2) + 4 -2 + 5t = (2 + 2t) + 4 Reorder the terms: -2 + 5t = 2 + 4 + 2t Combine like terms: 2 + 4 = 6 -2 + 5t = 6 + 2t Solving -2 + 5t = 6 + 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. -2 + 5t + -2t = 6 + 2t + -2t Combine like terms: 5t + -2t = 3t -2 + 3t = 6 + 2t + -2t Combine like terms: 2t + -2t = 0 -2 + 3t = 6 + 0 -2 + 3t = 6 Add '2' to each side of the equation. -2 + 2 + 3t = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 3t = 6 + 2 3t = 6 + 2 Combine like terms: 6 + 2 = 8 3t = 8 Divide each side by '3'. t = 2.666666667 Simplifying t = 2.666666667
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