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Simplifying -3(x + 3t) = -1t Reorder the terms: -3(3t + x) = -1t (3t * -3 + x * -3) = -1t (-9t + -3x) = -1t Solving -9t + -3x = -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -9t + t + -3x = -1t + t Combine like terms: -9t + t = -8t -8t + -3x = -1t + t Combine like terms: -1t + t = 0 -8t + -3x = 0 Add '3x' to each side of the equation. -8t + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 -8t + 0 = 0 + 3x -8t = 0 + 3x Remove the zero: -8t = 3x Divide each side by '-8'. t = -0.375x Simplifying t = -0.375x
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