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Simplifying 7(-8a + 2) + -6a = -40 + -8a Reorder the terms: 7(2 + -8a) + -6a = -40 + -8a (2 * 7 + -8a * 7) + -6a = -40 + -8a (14 + -56a) + -6a = -40 + -8a Combine like terms: -56a + -6a = -62a 14 + -62a = -40 + -8a Solving 14 + -62a = -40 + -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. 14 + -62a + 8a = -40 + -8a + 8a Combine like terms: -62a + 8a = -54a 14 + -54a = -40 + -8a + 8a Combine like terms: -8a + 8a = 0 14 + -54a = -40 + 0 14 + -54a = -40 Add '-14' to each side of the equation. 14 + -14 + -54a = -40 + -14 Combine like terms: 14 + -14 = 0 0 + -54a = -40 + -14 -54a = -40 + -14 Combine like terms: -40 + -14 = -54 -54a = -54 Divide each side by '-54'. a = 1 Simplifying a = 1
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