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Simplifying 3(2t + 1) = 4(3t + -2) Reorder the terms: 3(1 + 2t) = 4(3t + -2) (1 * 3 + 2t * 3) = 4(3t + -2) (3 + 6t) = 4(3t + -2) Reorder the terms: 3 + 6t = 4(-2 + 3t) 3 + 6t = (-2 * 4 + 3t * 4) 3 + 6t = (-8 + 12t) Solving 3 + 6t = -8 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 3 + 6t + -12t = -8 + 12t + -12t Combine like terms: 6t + -12t = -6t 3 + -6t = -8 + 12t + -12t Combine like terms: 12t + -12t = 0 3 + -6t = -8 + 0 3 + -6t = -8 Add '-3' to each side of the equation. 3 + -3 + -6t = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -6t = -8 + -3 -6t = -8 + -3 Combine like terms: -8 + -3 = -11 -6t = -11 Divide each side by '-6'. t = 1.833333333 Simplifying t = 1.833333333
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