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Simplifying -1a + 12a = 5(t + -7a) + -5(a + 1) Combine like terms: -1a + 12a = 11a 11a = 5(t + -7a) + -5(a + 1) Reorder the terms: 11a = 5(-7a + t) + -5(a + 1) 11a = (-7a * 5 + t * 5) + -5(a + 1) 11a = (-35a + 5t) + -5(a + 1) Reorder the terms: 11a = -35a + 5t + -5(1 + a) 11a = -35a + 5t + (1 * -5 + a * -5) 11a = -35a + 5t + (-5 + -5a) Reorder the terms: 11a = -5 + -35a + -5a + 5t Combine like terms: -35a + -5a = -40a 11a = -5 + -40a + 5t Solving 11a = -5 + -40a + 5t Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. 11a + 40a = -5 + -40a + 40a + 5t Combine like terms: 11a + 40a = 51a 51a = -5 + -40a + 40a + 5t Combine like terms: -40a + 40a = 0 51a = -5 + 0 + 5t 51a = -5 + 5t Divide each side by '51'. a = -0.09803921569 + 0.09803921569t Simplifying a = -0.09803921569 + 0.09803921569t
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