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Simplifying 2 + (3a + -4b) + -1(2 + b) = 0 Remove parenthesis around (3a + -4b) 2 + 3a + -4b + -1(2 + b) = 0 2 + 3a + -4b + (2 * -1 + b * -1) = 0 2 + 3a + -4b + (-2 + -1b) = 0 Reorder the terms: 2 + -2 + 3a + -4b + -1b = 0 Combine like terms: 2 + -2 = 0 0 + 3a + -4b + -1b = 0 3a + -4b + -1b = 0 Combine like terms: -4b + -1b = -5b 3a + -5b = 0 Solving 3a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 3a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 3a + 0 = 0 + 5b 3a = 0 + 5b Remove the zero: 3a = 5b Divide each side by '3'. a = 1.666666667b Simplifying a = 1.666666667b
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