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Simplifying 2a + -1(-3a) + -7a + 8b + -1b + (2b) = 0 Remove parenthesis around (-3a) 2a + -1 * -3a + -7a + 8b + -1b + (2b) = 0 Multiply -1 * -3 2a + 3a + -7a + 8b + -1b + (2b) = 0 Combine like terms: 2a + 3a = 5a 5a + -7a + 8b + -1b + (2b) = 0 Combine like terms: 5a + -7a = -2a -2a + 8b + -1b + (2b) = 0 Combine like terms: 8b + -1b = 7b -2a + 7b + (2b) = 0 Combine like terms: 7b + (2b) = 9b -2a + 9b = 0 Solving -2a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. -2a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 -2a + 0 = 0 + -9b -2a = 0 + -9b Remove the zero: -2a = -9b Divide each side by '-2'. a = 4.5b Simplifying a = 4.5b
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