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Simplifying 5(2t + -4) = 22 + -1(3 + 2t) Reorder the terms: 5(-4 + 2t) = 22 + -1(3 + 2t) (-4 * 5 + 2t * 5) = 22 + -1(3 + 2t) (-20 + 10t) = 22 + -1(3 + 2t) -20 + 10t = 22 + (3 * -1 + 2t * -1) -20 + 10t = 22 + (-3 + -2t) Combine like terms: 22 + -3 = 19 -20 + 10t = 19 + -2t Solving -20 + 10t = 19 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -20 + 10t + 2t = 19 + -2t + 2t Combine like terms: 10t + 2t = 12t -20 + 12t = 19 + -2t + 2t Combine like terms: -2t + 2t = 0 -20 + 12t = 19 + 0 -20 + 12t = 19 Add '20' to each side of the equation. -20 + 20 + 12t = 19 + 20 Combine like terms: -20 + 20 = 0 0 + 12t = 19 + 20 12t = 19 + 20 Combine like terms: 19 + 20 = 39 12t = 39 Divide each side by '12'. t = 3.25 Simplifying t = 3.25
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