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Simplifying -4(-3t + 1) = 16t Reorder the terms: -4(1 + -3t) = 16t (1 * -4 + -3t * -4) = 16t (-4 + 12t) = 16t Solving -4 + 12t = 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. -4 + 12t + -16t = 16t + -16t Combine like terms: 12t + -16t = -4t -4 + -4t = 16t + -16t Combine like terms: 16t + -16t = 0 -4 + -4t = 0 Add '4' to each side of the equation. -4 + 4 + -4t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4t = 0 + 4 -4t = 0 + 4 Combine like terms: 0 + 4 = 4 -4t = 4 Divide each side by '-4'. t = -1 Simplifying t = -1
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