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Simplifying -7(1 + -7a) + 6 = -1 + 4a (1 * -7 + -7a * -7) + 6 = -1 + 4a (-7 + 49a) + 6 = -1 + 4a Reorder the terms: -7 + 6 + 49a = -1 + 4a Combine like terms: -7 + 6 = -1 -1 + 49a = -1 + 4a Add '1' to each side of the equation. -1 + 1 + 49a = -1 + 1 + 4a Combine like terms: -1 + 1 = 0 0 + 49a = -1 + 1 + 4a 49a = -1 + 1 + 4a Combine like terms: -1 + 1 = 0 49a = 0 + 4a 49a = 4a Solving 49a = 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. 49a + -4a = 4a + -4a Combine like terms: 49a + -4a = 45a 45a = 4a + -4a Combine like terms: 4a + -4a = 0 45a = 0 Divide each side by '45'. a = 0 Simplifying a = 0
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