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Simplifying 14 + -5(5t + -12) = 1 + -1(20t + 1) Reorder the terms: 14 + -5(-12 + 5t) = 1 + -1(20t + 1) 14 + (-12 * -5 + 5t * -5) = 1 + -1(20t + 1) 14 + (60 + -25t) = 1 + -1(20t + 1) Combine like terms: 14 + 60 = 74 74 + -25t = 1 + -1(20t + 1) Reorder the terms: 74 + -25t = 1 + -1(1 + 20t) 74 + -25t = 1 + (1 * -1 + 20t * -1) 74 + -25t = 1 + (-1 + -20t) Combine like terms: 1 + -1 = 0 74 + -25t = 0 + -20t 74 + -25t = -20t Solving 74 + -25t = -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. 74 + -25t + 20t = -20t + 20t Combine like terms: -25t + 20t = -5t 74 + -5t = -20t + 20t Combine like terms: -20t + 20t = 0 74 + -5t = 0 Add '-74' to each side of the equation. 74 + -74 + -5t = 0 + -74 Combine like terms: 74 + -74 = 0 0 + -5t = 0 + -74 -5t = 0 + -74 Combine like terms: 0 + -74 = -74 -5t = -74 Divide each side by '-5'. t = 14.8 Simplifying t = 14.8
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