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Simplifying 3 + -5(t + 6) = 8t + -1(4 + -2t) Reorder the terms: 3 + -5(6 + t) = 8t + -1(4 + -2t) 3 + (6 * -5 + t * -5) = 8t + -1(4 + -2t) 3 + (-30 + -5t) = 8t + -1(4 + -2t) Combine like terms: 3 + -30 = -27 -27 + -5t = 8t + -1(4 + -2t) -27 + -5t = 8t + (4 * -1 + -2t * -1) -27 + -5t = 8t + (-4 + 2t) Reorder the terms: -27 + -5t = -4 + 8t + 2t Combine like terms: 8t + 2t = 10t -27 + -5t = -4 + 10t Solving -27 + -5t = -4 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -27 + -5t + -10t = -4 + 10t + -10t Combine like terms: -5t + -10t = -15t -27 + -15t = -4 + 10t + -10t Combine like terms: 10t + -10t = 0 -27 + -15t = -4 + 0 -27 + -15t = -4 Add '27' to each side of the equation. -27 + 27 + -15t = -4 + 27 Combine like terms: -27 + 27 = 0 0 + -15t = -4 + 27 -15t = -4 + 27 Combine like terms: -4 + 27 = 23 -15t = 23 Divide each side by '-15'. t = -1.533333333 Simplifying t = -1.533333333
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