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Simplifying -6(1 + -3a) + -4a = 4(2a + -3) (1 * -6 + -3a * -6) + -4a = 4(2a + -3) (-6 + 18a) + -4a = 4(2a + -3) Combine like terms: 18a + -4a = 14a -6 + 14a = 4(2a + -3) Reorder the terms: -6 + 14a = 4(-3 + 2a) -6 + 14a = (-3 * 4 + 2a * 4) -6 + 14a = (-12 + 8a) Solving -6 + 14a = -12 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -6 + 14a + -8a = -12 + 8a + -8a Combine like terms: 14a + -8a = 6a -6 + 6a = -12 + 8a + -8a Combine like terms: 8a + -8a = 0 -6 + 6a = -12 + 0 -6 + 6a = -12 Add '6' to each side of the equation. -6 + 6 + 6a = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 6a = -12 + 6 6a = -12 + 6 Combine like terms: -12 + 6 = -6 6a = -6 Divide each side by '6'. a = -1 Simplifying a = -1
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