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Simplifying 5 + -1(-1a) + 9(a + b) = 0 Remove parenthesis around (-1a) 5 + -1 * -1a + 9(a + b) = 0 Multiply -1 * -1 5 + 1a + 9(a + b) = 0 5 + 1a + (a * 9 + b * 9) = 0 5 + 1a + (9a + 9b) = 0 Combine like terms: 1a + 9a = 10a 5 + 10a + 9b = 0 Solving 5 + 10a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 10a + -5 + 9b = 0 + -5 Reorder the terms: 5 + -5 + 10a + 9b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10a + 9b = 0 + -5 10a + 9b = 0 + -5 Combine like terms: 0 + -5 = -5 10a + 9b = -5 Add '-9b' to each side of the equation. 10a + 9b + -9b = -5 + -9b Combine like terms: 9b + -9b = 0 10a + 0 = -5 + -9b 10a = -5 + -9b Divide each side by '10'. a = -0.5 + -0.9b Simplifying a = -0.5 + -0.9b
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