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Simplifying a + 8 + -6 = -6(1 + -7a) + 8(1 + -4a) Reorder the terms: 8 + -6 + a = -6(1 + -7a) + 8(1 + -4a) Combine like terms: 8 + -6 = 2 2 + a = -6(1 + -7a) + 8(1 + -4a) 2 + a = (1 * -6 + -7a * -6) + 8(1 + -4a) 2 + a = (-6 + 42a) + 8(1 + -4a) 2 + a = -6 + 42a + (1 * 8 + -4a * 8) 2 + a = -6 + 42a + (8 + -32a) Reorder the terms: 2 + a = -6 + 8 + 42a + -32a Combine like terms: -6 + 8 = 2 2 + a = 2 + 42a + -32a Combine like terms: 42a + -32a = 10a 2 + a = 2 + 10a Add '-2' to each side of the equation. 2 + -2 + a = 2 + -2 + 10a Combine like terms: 2 + -2 = 0 0 + a = 2 + -2 + 10a a = 2 + -2 + 10a Combine like terms: 2 + -2 = 0 a = 0 + 10a a = 10a Solving a = 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. a + -10a = 10a + -10a Combine like terms: a + -10a = -9a -9a = 10a + -10a Combine like terms: 10a + -10a = 0 -9a = 0 Divide each side by '-9'. a = 0 Simplifying a = 0
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