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Simplifying -5a + (2b + -3a) + -1(2a + 5b) = 0 Reorder the terms: -5a + (-3a + 2b) + -1(2a + 5b) = 0 Remove parenthesis around (-3a + 2b) -5a + -3a + 2b + -1(2a + 5b) = 0 -5a + -3a + 2b + (2a * -1 + 5b * -1) = 0 -5a + -3a + 2b + (-2a + -5b) = 0 Reorder the terms: -5a + -3a + -2a + 2b + -5b = 0 Combine like terms: -5a + -3a = -8a -8a + -2a + 2b + -5b = 0 Combine like terms: -8a + -2a = -10a -10a + 2b + -5b = 0 Combine like terms: 2b + -5b = -3b -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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