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Simplifying 3 + -1(2b + -5) + (3a + -2b) = 0 Reorder the terms: 3 + -1(-5 + 2b) + (3a + -2b) = 0 3 + (-5 * -1 + 2b * -1) + (3a + -2b) = 0 3 + (5 + -2b) + (3a + -2b) = 0 Remove parenthesis around (3a + -2b) 3 + 5 + -2b + 3a + -2b = 0 Reorder the terms: 3 + 5 + 3a + -2b + -2b = 0 Combine like terms: 3 + 5 = 8 8 + 3a + -2b + -2b = 0 Combine like terms: -2b + -2b = -4b 8 + 3a + -4b = 0 Solving 8 + 3a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 3a + -8 + -4b = 0 + -8 Reorder the terms: 8 + -8 + 3a + -4b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3a + -4b = 0 + -8 3a + -4b = 0 + -8 Combine like terms: 0 + -8 = -8 3a + -4b = -8 Add '4b' to each side of the equation. 3a + -4b + 4b = -8 + 4b Combine like terms: -4b + 4b = 0 3a + 0 = -8 + 4b 3a = -8 + 4b Divide each side by '3'. a = -2.666666667 + 1.333333333b Simplifying a = -2.666666667 + 1.333333333b
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