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Simplifying 3a + -4b + -1(-5a + 7b) + (10 + -9a + 8b) = 0 3a + -4b + (-5a * -1 + 7b * -1) + (10 + -9a + 8b) = 0 3a + -4b + (5a + -7b) + (10 + -9a + 8b) = 0 Remove parenthesis around (10 + -9a + 8b) 3a + -4b + 5a + -7b + 10 + -9a + 8b = 0 Reorder the terms: 10 + 3a + 5a + -9a + -4b + -7b + 8b = 0 Combine like terms: 3a + 5a = 8a 10 + 8a + -9a + -4b + -7b + 8b = 0 Combine like terms: 8a + -9a = -1a 10 + -1a + -4b + -7b + 8b = 0 Combine like terms: -4b + -7b = -11b 10 + -1a + -11b + 8b = 0 Combine like terms: -11b + 8b = -3b 10 + -1a + -3b = 0 Solving 10 + -1a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -1a + -10 + -3b = 0 + -10 Reorder the terms: 10 + -10 + -1a + -3b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1a + -3b = 0 + -10 -1a + -3b = 0 + -10 Combine like terms: 0 + -10 = -10 -1a + -3b = -10 Add '3b' to each side of the equation. -1a + -3b + 3b = -10 + 3b Combine like terms: -3b + 3b = 0 -1a + 0 = -10 + 3b -1a = -10 + 3b Divide each side by '-1'. a = 10 + -3b Simplifying a = 10 + -3b
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