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Simplifying (2a + -1b) + -1(a + 5b + -3) = 0 Remove parenthesis around (2a + -1b) 2a + -1b + -1(a + 5b + -3) = 0 Reorder the terms: 2a + -1b + -1(-3 + a + 5b) = 0 2a + -1b + (-3 * -1 + a * -1 + 5b * -1) = 0 2a + -1b + (3 + -1a + -5b) = 0 Reorder the terms: 3 + 2a + -1a + -1b + -5b = 0 Combine like terms: 2a + -1a = 1a 3 + 1a + -1b + -5b = 0 Combine like terms: -1b + -5b = -6b 3 + 1a + -6b = 0 Solving 3 + 1a + -6b = 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 + 1a + -3 + -6b = 0 + -3 Reorder the terms: 3 + -3 + 1a + -6b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1a + -6b = 0 + -3 1a + -6b = 0 + -3 Combine like terms: 0 + -3 = -3 1a + -6b = -3 Add '6b' to each side of the equation. 1a + -6b + 6b = -3 + 6b Combine like terms: -6b + 6b = 0 1a + 0 = -3 + 6b 1a = -3 + 6b Divide each side by '1'. a = -3 + 6b Simplifying a = -3 + 6b
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