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Simplifying -6a + 24 = -8(2a + 7) Reorder the terms: 24 + -6a = -8(2a + 7) Reorder the terms: 24 + -6a = -8(7 + 2a) 24 + -6a = (7 * -8 + 2a * -8) 24 + -6a = (-56 + -16a) Solving 24 + -6a = -56 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. 24 + -6a + 16a = -56 + -16a + 16a Combine like terms: -6a + 16a = 10a 24 + 10a = -56 + -16a + 16a Combine like terms: -16a + 16a = 0 24 + 10a = -56 + 0 24 + 10a = -56 Add '-24' to each side of the equation. 24 + -24 + 10a = -56 + -24 Combine like terms: 24 + -24 = 0 0 + 10a = -56 + -24 10a = -56 + -24 Combine like terms: -56 + -24 = -80 10a = -80 Divide each side by '10'. a = -8 Simplifying a = -8
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