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Simplifying -8(a + 7) + 7a = -26 + 4a Reorder the terms: -8(7 + a) + 7a = -26 + 4a (7 * -8 + a * -8) + 7a = -26 + 4a (-56 + -8a) + 7a = -26 + 4a Combine like terms: -8a + 7a = -1a -56 + -1a = -26 + 4a Solving -56 + -1a = -26 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -56 + -1a + -4a = -26 + 4a + -4a Combine like terms: -1a + -4a = -5a -56 + -5a = -26 + 4a + -4a Combine like terms: 4a + -4a = 0 -56 + -5a = -26 + 0 -56 + -5a = -26 Add '56' to each side of the equation. -56 + 56 + -5a = -26 + 56 Combine like terms: -56 + 56 = 0 0 + -5a = -26 + 56 -5a = -26 + 56 Combine like terms: -26 + 56 = 30 -5a = 30 Divide each side by '-5'. a = -6 Simplifying a = -6
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