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Simplifying (at + -4) = 2(t + 1) + 4 Reorder the terms: (-4 + at) = 2(t + 1) + 4 Remove parenthesis around (-4 + at) -4 + at = 2(t + 1) + 4 Reorder the terms: -4 + at = 2(1 + t) + 4 -4 + at = (1 * 2 + t * 2) + 4 -4 + at = (2 + 2t) + 4 Reorder the terms: -4 + at = 2 + 4 + 2t Combine like terms: 2 + 4 = 6 -4 + at = 6 + 2t Solving -4 + at = 6 + 2t Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + at = 6 + 4 + 2t Combine like terms: -4 + 4 = 0 0 + at = 6 + 4 + 2t at = 6 + 4 + 2t Combine like terms: 6 + 4 = 10 at = 10 + 2t Divide each side by 't'. a = 10t-1 + 2 Simplifying a = 10t-1 + 2 Reorder the terms: a = 2 + 10t-1
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