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Simplifying -55 + 10 = 3(1 + -4t) Combine like terms: -55 + 10 = -45 -45 = 3(1 + -4t) -45 = (1 * 3 + -4t * 3) -45 = (3 + -12t) Solving -45 = 3 + -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. -45 + 12t = 3 + -12t + 12t Combine like terms: -12t + 12t = 0 -45 + 12t = 3 + 0 -45 + 12t = 3 Add '45' to each side of the equation. -45 + 45 + 12t = 3 + 45 Combine like terms: -45 + 45 = 0 0 + 12t = 3 + 45 12t = 3 + 45 Combine like terms: 3 + 45 = 48 12t = 48 Divide each side by '12'. t = 4 Simplifying t = 4
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