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Simplifying -3(-4t + 1) = -6(4 + -8t) Reorder the terms: -3(1 + -4t) = -6(4 + -8t) (1 * -3 + -4t * -3) = -6(4 + -8t) (-3 + 12t) = -6(4 + -8t) -3 + 12t = (4 * -6 + -8t * -6) -3 + 12t = (-24 + 48t) Solving -3 + 12t = -24 + 48t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-48t' to each side of the equation. -3 + 12t + -48t = -24 + 48t + -48t Combine like terms: 12t + -48t = -36t -3 + -36t = -24 + 48t + -48t Combine like terms: 48t + -48t = 0 -3 + -36t = -24 + 0 -3 + -36t = -24 Add '3' to each side of the equation. -3 + 3 + -36t = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -36t = -24 + 3 -36t = -24 + 3 Combine like terms: -24 + 3 = -21 -36t = -21 Divide each side by '-36'. t = 0.5833333333 Simplifying t = 0.5833333333
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