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Simplifying 10t + -22 = 5(-2t + 3) Reorder the terms: -22 + 10t = 5(-2t + 3) Reorder the terms: -22 + 10t = 5(3 + -2t) -22 + 10t = (3 * 5 + -2t * 5) -22 + 10t = (15 + -10t) Solving -22 + 10t = 15 + -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. -22 + 10t + 10t = 15 + -10t + 10t Combine like terms: 10t + 10t = 20t -22 + 20t = 15 + -10t + 10t Combine like terms: -10t + 10t = 0 -22 + 20t = 15 + 0 -22 + 20t = 15 Add '22' to each side of the equation. -22 + 22 + 20t = 15 + 22 Combine like terms: -22 + 22 = 0 0 + 20t = 15 + 22 20t = 15 + 22 Combine like terms: 15 + 22 = 37 20t = 37 Divide each side by '20'. t = 1.85 Simplifying t = 1.85
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