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Simplifying (15a + -7a + 1) + -1(8a + a + 8) = 0 Reorder the terms: (1 + 15a + -7a) + -1(8a + a + 8) = 0 Combine like terms: 15a + -7a = 8a (1 + 8a) + -1(8a + a + 8) = 0 Remove parenthesis around (1 + 8a) 1 + 8a + -1(8a + a + 8) = 0 Reorder the terms: 1 + 8a + -1(8 + 8a + a) = 0 Combine like terms: 8a + a = 9a 1 + 8a + -1(8 + 9a) = 0 1 + 8a + (8 * -1 + 9a * -1) = 0 1 + 8a + (-8 + -9a) = 0 Reorder the terms: 1 + -8 + 8a + -9a = 0 Combine like terms: 1 + -8 = -7 -7 + 8a + -9a = 0 Combine like terms: 8a + -9a = -1a -7 + -1a = 0 Solving -7 + -1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = 0 + 7 -1a = 0 + 7 Combine like terms: 0 + 7 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7
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