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Simplifying 10t + -10 = 22t + -1(t + 5) Reorder the terms: -10 + 10t = 22t + -1(t + 5) Reorder the terms: -10 + 10t = 22t + -1(5 + t) -10 + 10t = 22t + (5 * -1 + t * -1) -10 + 10t = 22t + (-5 + -1t) Reorder the terms: -10 + 10t = -5 + 22t + -1t Combine like terms: 22t + -1t = 21t -10 + 10t = -5 + 21t Solving -10 + 10t = -5 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -10 + 10t + -21t = -5 + 21t + -21t Combine like terms: 10t + -21t = -11t -10 + -11t = -5 + 21t + -21t Combine like terms: 21t + -21t = 0 -10 + -11t = -5 + 0 -10 + -11t = -5 Add '10' to each side of the equation. -10 + 10 + -11t = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -11t = -5 + 10 -11t = -5 + 10 Combine like terms: -5 + 10 = 5 -11t = 5 Divide each side by '-11'. t = -0.4545454545 Simplifying t = -0.4545454545
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