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Simplifying 5a + -3b + -5(3a + -4a) = 0 Combine like terms: 3a + -4a = -1a 5a + -3b + -5(-1a) = 0 Remove parenthesis around (-1a) 5a + -3b + -5 * -1a = 0 Multiply -5 * -1 5a + -3b + 5a = 0 Reorder the terms: 5a + 5a + -3b = 0 Combine like terms: 5a + 5a = 10a 10a + -3b = 0 Solving 10a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 10a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 10a + 0 = 0 + 3b 10a = 0 + 3b Remove the zero: 10a = 3b Divide each side by '10'. a = 0.3b Simplifying a = 0.3b
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