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Simplifying -4(5 + -9t) + -6t = 13 + -10t (5 * -4 + -9t * -4) + -6t = 13 + -10t (-20 + 36t) + -6t = 13 + -10t Combine like terms: 36t + -6t = 30t -20 + 30t = 13 + -10t Solving -20 + 30t = 13 + -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. -20 + 30t + 10t = 13 + -10t + 10t Combine like terms: 30t + 10t = 40t -20 + 40t = 13 + -10t + 10t Combine like terms: -10t + 10t = 0 -20 + 40t = 13 + 0 -20 + 40t = 13 Add '20' to each side of the equation. -20 + 20 + 40t = 13 + 20 Combine like terms: -20 + 20 = 0 0 + 40t = 13 + 20 40t = 13 + 20 Combine like terms: 13 + 20 = 33 40t = 33 Divide each side by '40'. t = 0.825 Simplifying t = 0.825
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