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Simplifying 3 + -1(4a + -7) = 6 + -5(12 + -8a) Reorder the terms: 3 + -1(-7 + 4a) = 6 + -5(12 + -8a) 3 + (-7 * -1 + 4a * -1) = 6 + -5(12 + -8a) 3 + (7 + -4a) = 6 + -5(12 + -8a) Combine like terms: 3 + 7 = 10 10 + -4a = 6 + -5(12 + -8a) 10 + -4a = 6 + (12 * -5 + -8a * -5) 10 + -4a = 6 + (-60 + 40a) Combine like terms: 6 + -60 = -54 10 + -4a = -54 + 40a Solving 10 + -4a = -54 + 40a 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. 10 + -4a + -40a = -54 + 40a + -40a Combine like terms: -4a + -40a = -44a 10 + -44a = -54 + 40a + -40a Combine like terms: 40a + -40a = 0 10 + -44a = -54 + 0 10 + -44a = -54 Add '-10' to each side of the equation. 10 + -10 + -44a = -54 + -10 Combine like terms: 10 + -10 = 0 0 + -44a = -54 + -10 -44a = -54 + -10 Combine like terms: -54 + -10 = -64 -44a = -64 Divide each side by '-44'. a = 1.454545455 Simplifying a = 1.454545455
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