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Simplifying 6a + -1 = 7(8a + 7) Reorder the terms: -1 + 6a = 7(8a + 7) Reorder the terms: -1 + 6a = 7(7 + 8a) -1 + 6a = (7 * 7 + 8a * 7) -1 + 6a = (49 + 56a) Solving -1 + 6a = 49 + 56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56a' to each side of the equation. -1 + 6a + -56a = 49 + 56a + -56a Combine like terms: 6a + -56a = -50a -1 + -50a = 49 + 56a + -56a Combine like terms: 56a + -56a = 0 -1 + -50a = 49 + 0 -1 + -50a = 49 Add '1' to each side of the equation. -1 + 1 + -50a = 49 + 1 Combine like terms: -1 + 1 = 0 0 + -50a = 49 + 1 -50a = 49 + 1 Combine like terms: 49 + 1 = 50 -50a = 50 Divide each side by '-50'. a = -1 Simplifying a = -1
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