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Simplifying -4t + -6(13t + 6) = 6(-16t + 1) Reorder the terms: -4t + -6(6 + 13t) = 6(-16t + 1) -4t + (6 * -6 + 13t * -6) = 6(-16t + 1) -4t + (-36 + -78t) = 6(-16t + 1) Reorder the terms: -36 + -4t + -78t = 6(-16t + 1) Combine like terms: -4t + -78t = -82t -36 + -82t = 6(-16t + 1) Reorder the terms: -36 + -82t = 6(1 + -16t) -36 + -82t = (1 * 6 + -16t * 6) -36 + -82t = (6 + -96t) Solving -36 + -82t = 6 + -96t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '96t' to each side of the equation. -36 + -82t + 96t = 6 + -96t + 96t Combine like terms: -82t + 96t = 14t -36 + 14t = 6 + -96t + 96t Combine like terms: -96t + 96t = 0 -36 + 14t = 6 + 0 -36 + 14t = 6 Add '36' to each side of the equation. -36 + 36 + 14t = 6 + 36 Combine like terms: -36 + 36 = 0 0 + 14t = 6 + 36 14t = 6 + 36 Combine like terms: 6 + 36 = 42 14t = 42 Divide each side by '14'. t = 3 Simplifying t = 3
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