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Simplifying 11 + -3(5t + -12) = 1 + -1(20t + 1) Reorder the terms: 11 + -3(-12 + 5t) = 1 + -1(20t + 1) 11 + (-12 * -3 + 5t * -3) = 1 + -1(20t + 1) 11 + (36 + -15t) = 1 + -1(20t + 1) Combine like terms: 11 + 36 = 47 47 + -15t = 1 + -1(20t + 1) Reorder the terms: 47 + -15t = 1 + -1(1 + 20t) 47 + -15t = 1 + (1 * -1 + 20t * -1) 47 + -15t = 1 + (-1 + -20t) Combine like terms: 1 + -1 = 0 47 + -15t = 0 + -20t 47 + -15t = -20t Solving 47 + -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. 47 + -15t + 20t = -20t + 20t Combine like terms: -15t + 20t = 5t 47 + 5t = -20t + 20t Combine like terms: -20t + 20t = 0 47 + 5t = 0 Add '-47' to each side of the equation. 47 + -47 + 5t = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 5t = 0 + -47 5t = 0 + -47 Combine like terms: 0 + -47 = -47 5t = -47 Divide each side by '5'. t = -9.4 Simplifying t = -9.4
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