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Simplifying 0 = 2a + -1(-3a) + -7a + 8b + -1b + (-2b) Remove parenthesis around (-3a) 0 = 2a + -1 * -3a + -7a + 8b + -1b + (-2b) Multiply -1 * -3 0 = 2a + 3a + -7a + 8b + -1b + (-2b) Combine like terms: 2a + 3a = 5a 0 = 5a + -7a + 8b + -1b + (-2b) Combine like terms: 5a + -7a = -2a 0 = -2a + 8b + -1b + (-2b) Combine like terms: 8b + -1b = 7b 0 = -2a + 7b + (-2b) Combine like terms: 7b + (-2b) = 5b 0 = -2a + 5b Solving 0 = -2a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 0 + 2a = -2a + 2a + 5b Remove the zero: 2a = -2a + 2a + 5b Combine like terms: -2a + 2a = 0 2a = 0 + 5b 2a = 5b Divide each side by '2'. a = 2.5b Simplifying a = 2.5b
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