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Simplifying a(t + 2) + b(t + 1) = 2 Reorder the terms: a(2 + t) + b(t + 1) = 2 (2 * a + t * a) + b(t + 1) = 2 (2a + at) + b(t + 1) = 2 Reorder the terms: 2a + at + b(1 + t) = 2 2a + at + (1 * b + t * b) = 2 2a + at + (1b + bt) = 2 Solving 2a + at + 1b + bt = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a + at + 1b + -1b + bt = 2 + -1b Combine like terms: 1b + -1b = 0 2a + at + 0 + bt = 2 + -1b 2a + at + bt = 2 + -1b Add '-1bt' to each side of the equation. 2a + at + bt + -1bt = 2 + -1b + -1bt Combine like terms: bt + -1bt = 0 2a + at + 0 = 2 + -1b + -1bt 2a + at = 2 + -1b + -1bt Reorder the terms: -2 + 2a + at + b + bt = 2 + -1b + -1bt + -2 + b + bt Reorder the terms: -2 + 2a + at + b + bt = 2 + -2 + -1b + b + -1bt + bt Combine like terms: 2 + -2 = 0 -2 + 2a + at + b + bt = 0 + -1b + b + -1bt + bt -2 + 2a + at + b + bt = -1b + b + -1bt + bt Combine like terms: -1b + b = 0 -2 + 2a + at + b + bt = 0 + -1bt + bt -2 + 2a + at + b + bt = -1bt + bt Combine like terms: -1bt + bt = 0 -2 + 2a + at + b + bt = 0 The solution to this equation could not be determined.
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