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Simplifying 6(a + 3) + -2 = -4(a + -4) Reorder the terms: 6(3 + a) + -2 = -4(a + -4) (3 * 6 + a * 6) + -2 = -4(a + -4) (18 + 6a) + -2 = -4(a + -4) Reorder the terms: 18 + -2 + 6a = -4(a + -4) Combine like terms: 18 + -2 = 16 16 + 6a = -4(a + -4) Reorder the terms: 16 + 6a = -4(-4 + a) 16 + 6a = (-4 * -4 + a * -4) 16 + 6a = (16 + -4a) Add '-16' to each side of the equation. 16 + -16 + 6a = 16 + -16 + -4a Combine like terms: 16 + -16 = 0 0 + 6a = 16 + -16 + -4a 6a = 16 + -16 + -4a Combine like terms: 16 + -16 = 0 6a = 0 + -4a 6a = -4a Solving 6a = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 6a + 4a = -4a + 4a Combine like terms: 6a + 4a = 10a 10a = -4a + 4a Combine like terms: -4a + 4a = 0 10a = 0 Divide each side by '10'. a = 0.0 Simplifying a = 0.0
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