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Simplifying a + -2(4a + -6) + -3 = -40 Reorder the terms: a + -2(-6 + 4a) + -3 = -40 a + (-6 * -2 + 4a * -2) + -3 = -40 a + (12 + -8a) + -3 = -40 Reorder the terms: 12 + -3 + a + -8a = -40 Combine like terms: 12 + -3 = 9 9 + a + -8a = -40 Combine like terms: a + -8a = -7a 9 + -7a = -40 Solving 9 + -7a = -40 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7a = -40 + -9 Combine like terms: 9 + -9 = 0 0 + -7a = -40 + -9 -7a = -40 + -9 Combine like terms: -40 + -9 = -49 -7a = -49 Divide each side by '-7'. a = 7 Simplifying a = 7
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