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Simplifying 7(1 + a) = -4a + -26 (1 * 7 + a * 7) = -4a + -26 (7 + 7a) = -4a + -26 Reorder the terms: 7 + 7a = -26 + -4a Solving 7 + 7a = -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. 7 + 7a + 4a = -26 + -4a + 4a Combine like terms: 7a + 4a = 11a 7 + 11a = -26 + -4a + 4a Combine like terms: -4a + 4a = 0 7 + 11a = -26 + 0 7 + 11a = -26 Add '-7' to each side of the equation. 7 + -7 + 11a = -26 + -7 Combine like terms: 7 + -7 = 0 0 + 11a = -26 + -7 11a = -26 + -7 Combine like terms: -26 + -7 = -33 11a = -33 Divide each side by '11'. a = -3 Simplifying a = -3
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