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Simplifying -6a + -1(-8b + -7) + (14a + 8) = 0 Reorder the terms: -6a + -1(-7 + -8b) + (14a + 8) = 0 -6a + (-7 * -1 + -8b * -1) + (14a + 8) = 0 -6a + (7 + 8b) + (14a + 8) = 0 Reorder the terms: -6a + 7 + 8b + (8 + 14a) = 0 Remove parenthesis around (8 + 14a) -6a + 7 + 8b + 8 + 14a = 0 Reorder the terms: 7 + 8 + -6a + 14a + 8b = 0 Combine like terms: 7 + 8 = 15 15 + -6a + 14a + 8b = 0 Combine like terms: -6a + 14a = 8a 15 + 8a + 8b = 0 Solving 15 + 8a + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 8a + -15 + 8b = 0 + -15 Reorder the terms: 15 + -15 + 8a + 8b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 8a + 8b = 0 + -15 8a + 8b = 0 + -15 Combine like terms: 0 + -15 = -15 8a + 8b = -15 Add '-8b' to each side of the equation. 8a + 8b + -8b = -15 + -8b Combine like terms: 8b + -8b = 0 8a + 0 = -15 + -8b 8a = -15 + -8b Divide each side by '8'. a = -1.875 + -1b Simplifying a = -1.875 + -1b
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