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Simplifying 6t + -2(2t + 1) = -3(4t + 7) Reorder the terms: 6t + -2(1 + 2t) = -3(4t + 7) 6t + (1 * -2 + 2t * -2) = -3(4t + 7) 6t + (-2 + -4t) = -3(4t + 7) Reorder the terms: -2 + 6t + -4t = -3(4t + 7) Combine like terms: 6t + -4t = 2t -2 + 2t = -3(4t + 7) Reorder the terms: -2 + 2t = -3(7 + 4t) -2 + 2t = (7 * -3 + 4t * -3) -2 + 2t = (-21 + -12t) Solving -2 + 2t = -21 + -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. -2 + 2t + 12t = -21 + -12t + 12t Combine like terms: 2t + 12t = 14t -2 + 14t = -21 + -12t + 12t Combine like terms: -12t + 12t = 0 -2 + 14t = -21 + 0 -2 + 14t = -21 Add '2' to each side of the equation. -2 + 2 + 14t = -21 + 2 Combine like terms: -2 + 2 = 0 0 + 14t = -21 + 2 14t = -21 + 2 Combine like terms: -21 + 2 = -19 14t = -19 Divide each side by '14'. t = -1.357142857 Simplifying t = -1.357142857
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