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Simplifying 14 + -3[5t + -12] = 1 + -1[20t + 1] Reorder the terms: 14 + -3[-12 + 5t] = 1 + -1[20t + 1] 14 + [-12 * -3 + 5t * -3] = 1 + -1[20t + 1] 14 + [36 + -15t] = 1 + -1[20t + 1] Combine like terms: 14 + 36 = 50 50 + -15t = 1 + -1[20t + 1] Reorder the terms: 50 + -15t = 1 + -1[1 + 20t] 50 + -15t = 1 + [1 * -1 + 20t * -1] 50 + -15t = 1 + [-1 + -20t] Combine like terms: 1 + -1 = 0 50 + -15t = 0 + -20t 50 + -15t = -20t Solving 50 + -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. 50 + -15t + 20t = -20t + 20t Combine like terms: -15t + 20t = 5t 50 + 5t = -20t + 20t Combine like terms: -20t + 20t = 0 50 + 5t = 0 Add '-50' to each side of the equation. 50 + -50 + 5t = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 5t = 0 + -50 5t = 0 + -50 Combine like terms: 0 + -50 = -50 5t = -50 Divide each side by '5'. t = -10 Simplifying t = -10
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