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Simplifying -2(4a + -1) + -7 = -3a + 5 Reorder the terms: -2(-1 + 4a) + -7 = -3a + 5 (-1 * -2 + 4a * -2) + -7 = -3a + 5 (2 + -8a) + -7 = -3a + 5 Reorder the terms: 2 + -7 + -8a = -3a + 5 Combine like terms: 2 + -7 = -5 -5 + -8a = -3a + 5 Reorder the terms: -5 + -8a = 5 + -3a Solving -5 + -8a = 5 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -5 + -8a + 3a = 5 + -3a + 3a Combine like terms: -8a + 3a = -5a -5 + -5a = 5 + -3a + 3a Combine like terms: -3a + 3a = 0 -5 + -5a = 5 + 0 -5 + -5a = 5 Add '5' to each side of the equation. -5 + 5 + -5a = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -5a = 5 + 5 -5a = 5 + 5 Combine like terms: 5 + 5 = 10 -5a = 10 Divide each side by '-5'. a = -2 Simplifying a = -2
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