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Simplifying 22 + -15t = 1 + -1(20t + 1) Reorder the terms: 22 + -15t = 1 + -1(1 + 20t) 22 + -15t = 1 + (1 * -1 + 20t * -1) 22 + -15t = 1 + (-1 + -20t) Combine like terms: 1 + -1 = 0 22 + -15t = 0 + -20t 22 + -15t = -20t Solving 22 + -15t = -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. 22 + -15t + 20t = -20t + 20t Combine like terms: -15t + 20t = 5t 22 + 5t = -20t + 20t Combine like terms: -20t + 20t = 0 22 + 5t = 0 Add '-22' to each side of the equation. 22 + -22 + 5t = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 5t = 0 + -22 5t = 0 + -22 Combine like terms: 0 + -22 = -22 5t = -22 Divide each side by '5'. t = -4.4 Simplifying t = -4.4
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