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Simplifying (5a + 5b + -3) + -1(2a + 3b) = 0 Reorder the terms: (-3 + 5a + 5b) + -1(2a + 3b) = 0 Remove parenthesis around (-3 + 5a + 5b) -3 + 5a + 5b + -1(2a + 3b) = 0 -3 + 5a + 5b + (2a * -1 + 3b * -1) = 0 -3 + 5a + 5b + (-2a + -3b) = 0 Reorder the terms: -3 + 5a + -2a + 5b + -3b = 0 Combine like terms: 5a + -2a = 3a -3 + 3a + 5b + -3b = 0 Combine like terms: 5b + -3b = 2b -3 + 3a + 2b = 0 Solving -3 + 3a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3a + 3 + 2b = 0 + 3 Reorder the terms: -3 + 3 + 3a + 2b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3a + 2b = 0 + 3 3a + 2b = 0 + 3 Combine like terms: 0 + 3 = 3 3a + 2b = 3 Add '-2b' to each side of the equation. 3a + 2b + -2b = 3 + -2b Combine like terms: 2b + -2b = 0 3a + 0 = 3 + -2b 3a = 3 + -2b Divide each side by '3'. a = 1 + -0.6666666667b Simplifying a = 1 + -0.6666666667b
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