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Simplifying 8a + 7(-1 + -7a) = 7(a + 7) + -8 8a + (-1 * 7 + -7a * 7) = 7(a + 7) + -8 8a + (-7 + -49a) = 7(a + 7) + -8 Reorder the terms: -7 + 8a + -49a = 7(a + 7) + -8 Combine like terms: 8a + -49a = -41a -7 + -41a = 7(a + 7) + -8 Reorder the terms: -7 + -41a = 7(7 + a) + -8 -7 + -41a = (7 * 7 + a * 7) + -8 -7 + -41a = (49 + 7a) + -8 Reorder the terms: -7 + -41a = 49 + -8 + 7a Combine like terms: 49 + -8 = 41 -7 + -41a = 41 + 7a Solving -7 + -41a = 41 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -7 + -41a + -7a = 41 + 7a + -7a Combine like terms: -41a + -7a = -48a -7 + -48a = 41 + 7a + -7a Combine like terms: 7a + -7a = 0 -7 + -48a = 41 + 0 -7 + -48a = 41 Add '7' to each side of the equation. -7 + 7 + -48a = 41 + 7 Combine like terms: -7 + 7 = 0 0 + -48a = 41 + 7 -48a = 41 + 7 Combine like terms: 41 + 7 = 48 -48a = 48 Divide each side by '-48'. a = -1 Simplifying a = -1
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