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Simplifying 14 + -3(5t) = 1 + -1(20t + 1) Remove parenthesis around (5t) 14 + -3 * 5t = 1 + -1(20t + 1) Multiply -3 * 5 14 + -15t = 1 + -1(20t + 1) Reorder the terms: 14 + -15t = 1 + -1(1 + 20t) 14 + -15t = 1 + (1 * -1 + 20t * -1) 14 + -15t = 1 + (-1 + -20t) Combine like terms: 1 + -1 = 0 14 + -15t = 0 + -20t 14 + -15t = -20t Solving 14 + -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. 14 + -15t + 20t = -20t + 20t Combine like terms: -15t + 20t = 5t 14 + 5t = -20t + 20t Combine like terms: -20t + 20t = 0 14 + 5t = 0 Add '-14' to each side of the equation. 14 + -14 + 5t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5t = 0 + -14 5t = 0 + -14 Combine like terms: 0 + -14 = -14 5t = -14 Divide each side by '5'. t = -2.8 Simplifying t = -2.8
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