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Simplifying 14 + -3(5t + -2) = 1 + -1(20t + 1) Reorder the terms: 14 + -3(-2 + 5t) = 1 + -1(20t + 1) 14 + (-2 * -3 + 5t * -3) = 1 + -1(20t + 1) 14 + (6 + -15t) = 1 + -1(20t + 1) Combine like terms: 14 + 6 = 20 20 + -15t = 1 + -1(20t + 1) Reorder the terms: 20 + -15t = 1 + -1(1 + 20t) 20 + -15t = 1 + (1 * -1 + 20t * -1) 20 + -15t = 1 + (-1 + -20t) Combine like terms: 1 + -1 = 0 20 + -15t = 0 + -20t 20 + -15t = -20t Solving 20 + -15t = -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. 20 + -15t + 20t = -20t + 20t Combine like terms: -15t + 20t = 5t 20 + 5t = -20t + 20t Combine like terms: -20t + 20t = 0 20 + 5t = 0 Add '-20' to each side of the equation. 20 + -20 + 5t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5t = 0 + -20 5t = 0 + -20 Combine like terms: 0 + -20 = -20 5t = -20 Divide each side by '5'. t = -4 Simplifying t = -4
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