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Simplifying -27 = 13t + -1(4 + -2t) -27 = 13t + (4 * -1 + -2t * -1) -27 = 13t + (-4 + 2t) Reorder the terms: -27 = -4 + 13t + 2t Combine like terms: 13t + 2t = 15t -27 = -4 + 15t Solving -27 = -4 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -27 + -15t = -4 + 15t + -15t Combine like terms: 15t + -15t = 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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