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Simplifying (6t + -2) = 3(t + 1) + 3 Reorder the terms: (-2 + 6t) = 3(t + 1) + 3 Remove parenthesis around (-2 + 6t) -2 + 6t = 3(t + 1) + 3 Reorder the terms: -2 + 6t = 3(1 + t) + 3 -2 + 6t = (1 * 3 + t * 3) + 3 -2 + 6t = (3 + 3t) + 3 Reorder the terms: -2 + 6t = 3 + 3 + 3t Combine like terms: 3 + 3 = 6 -2 + 6t = 6 + 3t Solving -2 + 6t = 6 + 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 + 6t + -3t = 6 + 3t + -3t Combine like terms: 6t + -3t = 3t -2 + 3t = 6 + 3t + -3t Combine like terms: 3t + -3t = 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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