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Simplifying -8(a + -1) + -1 = 7(3a + 1) Reorder the terms: -8(-1 + a) + -1 = 7(3a + 1) (-1 * -8 + a * -8) + -1 = 7(3a + 1) (8 + -8a) + -1 = 7(3a + 1) Reorder the terms: 8 + -1 + -8a = 7(3a + 1) Combine like terms: 8 + -1 = 7 7 + -8a = 7(3a + 1) Reorder the terms: 7 + -8a = 7(1 + 3a) 7 + -8a = (1 * 7 + 3a * 7) 7 + -8a = (7 + 21a) Add '-7' to each side of the equation. 7 + -7 + -8a = 7 + -7 + 21a Combine like terms: 7 + -7 = 0 0 + -8a = 7 + -7 + 21a -8a = 7 + -7 + 21a Combine like terms: 7 + -7 = 0 -8a = 0 + 21a -8a = 21a Solving -8a = 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -8a + -21a = 21a + -21a Combine like terms: -8a + -21a = -29a -29a = 21a + -21a Combine like terms: 21a + -21a = 0 -29a = 0 Divide each side by '-29'. a = 0 Simplifying a = 0
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