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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 = -22 -22 + -15t = 1 + -1(20t + 1) Reorder the terms: -22 + -15t = 1 + -1(1 + 20t) -22 + -15t = 1 + (1 * -1 + 20t * -1) -22 + -15t = 1 + (-1 + -20t) Combine like terms: 1 + -1 = 0 -22 + -15t = 0 + -20t -22 + -15t = -20t Solving -22 + -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. -22 + -15t + 20t = -20t + 20t Combine like terms: -15t + 20t = 5t -22 + 5t = -20t + 20t Combine like terms: -20t + 20t = 0 -22 + 5t = 0 Add '22' to each side of the equation. -22 + 22 + 5t = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 5t = 0 + 22 5t = 0 + 22 Combine like terms: 0 + 22 = 22 5t = 22 Divide each side by '5'. t = 4.4 Simplifying t = 4.4
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