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Simplifying -3(4t + 1) + -1 = 2 + 2t Reorder the terms: -3(1 + 4t) + -1 = 2 + 2t (1 * -3 + 4t * -3) + -1 = 2 + 2t (-3 + -12t) + -1 = 2 + 2t Reorder the terms: -3 + -1 + -12t = 2 + 2t Combine like terms: -3 + -1 = -4 -4 + -12t = 2 + 2t Solving -4 + -12t = 2 + 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. -4 + -12t + -2t = 2 + 2t + -2t Combine like terms: -12t + -2t = -14t -4 + -14t = 2 + 2t + -2t Combine like terms: 2t + -2t = 0 -4 + -14t = 2 + 0 -4 + -14t = 2 Add '4' to each side of the equation. -4 + 4 + -14t = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -14t = 2 + 4 -14t = 2 + 4 Combine like terms: 2 + 4 = 6 -14t = 6 Divide each side by '-14'. t = -0.4285714286 Simplifying t = -0.4285714286
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