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Simplifying 2(3a + 6) = 4(-2a + -8) Reorder the terms: 2(6 + 3a) = 4(-2a + -8) (6 * 2 + 3a * 2) = 4(-2a + -8) (12 + 6a) = 4(-2a + -8) Reorder the terms: 12 + 6a = 4(-8 + -2a) 12 + 6a = (-8 * 4 + -2a * 4) 12 + 6a = (-32 + -8a) Solving 12 + 6a = -32 + -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. 12 + 6a + 8a = -32 + -8a + 8a Combine like terms: 6a + 8a = 14a 12 + 14a = -32 + -8a + 8a Combine like terms: -8a + 8a = 0 12 + 14a = -32 + 0 12 + 14a = -32 Add '-12' to each side of the equation. 12 + -12 + 14a = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 14a = -32 + -12 14a = -32 + -12 Combine like terms: -32 + -12 = -44 14a = -44 Divide each side by '14'. a = -3.142857143 Simplifying a = -3.142857143
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