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Simplifying (6t + 1) = 3(t + 1) + 3 Reorder the terms: (1 + 6t) = 3(t + 1) + 3 Remove parenthesis around (1 + 6t) 1 + 6t = 3(t + 1) + 3 Reorder the terms: 1 + 6t = 3(1 + t) + 3 1 + 6t = (1 * 3 + t * 3) + 3 1 + 6t = (3 + 3t) + 3 Reorder the terms: 1 + 6t = 3 + 3 + 3t Combine like terms: 3 + 3 = 6 1 + 6t = 6 + 3t Solving 1 + 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. 1 + 6t + -3t = 6 + 3t + -3t Combine like terms: 6t + -3t = 3t 1 + 3t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + 3t = 6 + 0 1 + 3t = 6 Add '-1' to each side of the equation. 1 + -1 + 3t = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 3t = 6 + -1 3t = 6 + -1 Combine like terms: 6 + -1 = 5 3t = 5 Divide each side by '3'. t = 1.666666667 Simplifying t = 1.666666667
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