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Simplifying 15 + -3(5t + -12) = 1 + -1(20 + 1) Reorder the terms: 15 + -3(-12 + 5t) = 1 + -1(20 + 1) 15 + (-12 * -3 + 5t * -3) = 1 + -1(20 + 1) 15 + (36 + -15t) = 1 + -1(20 + 1) Combine like terms: 15 + 36 = 51 51 + -15t = 1 + -1(20 + 1) Combine like terms: 20 + 1 = 21 51 + -15t = 1 + -1(21) Multiply -1 * 21 51 + -15t = 1 + -21 Combine like terms: 1 + -21 = -20 51 + -15t = -20 Solving 51 + -15t = -20 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -15t = -20 + -51 Combine like terms: 51 + -51 = 0 0 + -15t = -20 + -51 -15t = -20 + -51 Combine like terms: -20 + -51 = -71 -15t = -71 Divide each side by '-15'. t = 4.733333333 Simplifying t = 4.733333333
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