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Simplifying (6a + -8b + 7) + -1(-7a + 3b + -6) = 0 Reorder the terms: (7 + 6a + -8b) + -1(-7a + 3b + -6) = 0 Remove parenthesis around (7 + 6a + -8b) 7 + 6a + -8b + -1(-7a + 3b + -6) = 0 Reorder the terms: 7 + 6a + -8b + -1(-6 + -7a + 3b) = 0 7 + 6a + -8b + (-6 * -1 + -7a * -1 + 3b * -1) = 0 7 + 6a + -8b + (6 + 7a + -3b) = 0 Reorder the terms: 7 + 6 + 6a + 7a + -8b + -3b = 0 Combine like terms: 7 + 6 = 13 13 + 6a + 7a + -8b + -3b = 0 Combine like terms: 6a + 7a = 13a 13 + 13a + -8b + -3b = 0 Combine like terms: -8b + -3b = -11b 13 + 13a + -11b = 0 Solving 13 + 13a + -11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 13a + -13 + -11b = 0 + -13 Reorder the terms: 13 + -13 + 13a + -11b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 13a + -11b = 0 + -13 13a + -11b = 0 + -13 Combine like terms: 0 + -13 = -13 13a + -11b = -13 Add '11b' to each side of the equation. 13a + -11b + 11b = -13 + 11b Combine like terms: -11b + 11b = 0 13a + 0 = -13 + 11b 13a = -13 + 11b Divide each side by '13'. a = -1 + 0.8461538462b Simplifying a = -1 + 0.8461538462b
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