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Simplifying 6(8 + -1a) = 3(a + -4) + 2(a + -1) (8 * 6 + -1a * 6) = 3(a + -4) + 2(a + -1) (48 + -6a) = 3(a + -4) + 2(a + -1) Reorder the terms: 48 + -6a = 3(-4 + a) + 2(a + -1) 48 + -6a = (-4 * 3 + a * 3) + 2(a + -1) 48 + -6a = (-12 + 3a) + 2(a + -1) Reorder the terms: 48 + -6a = -12 + 3a + 2(-1 + a) 48 + -6a = -12 + 3a + (-1 * 2 + a * 2) 48 + -6a = -12 + 3a + (-2 + 2a) Reorder the terms: 48 + -6a = -12 + -2 + 3a + 2a Combine like terms: -12 + -2 = -14 48 + -6a = -14 + 3a + 2a Combine like terms: 3a + 2a = 5a 48 + -6a = -14 + 5a Solving 48 + -6a = -14 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 48 + -6a + -5a = -14 + 5a + -5a Combine like terms: -6a + -5a = -11a 48 + -11a = -14 + 5a + -5a Combine like terms: 5a + -5a = 0 48 + -11a = -14 + 0 48 + -11a = -14 Add '-48' to each side of the equation. 48 + -48 + -11a = -14 + -48 Combine like terms: 48 + -48 = 0 0 + -11a = -14 + -48 -11a = -14 + -48 Combine like terms: -14 + -48 = -62 -11a = -62 Divide each side by '-11'. a = 5.636363636 Simplifying a = 5.636363636
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