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Simplifying 5a + 7b + -3 + 3b + -2a + 8 = 0 Reorder the terms: -3 + 8 + 5a + -2a + 7b + 3b = 0 Combine like terms: -3 + 8 = 5 5 + 5a + -2a + 7b + 3b = 0 Combine like terms: 5a + -2a = 3a 5 + 3a + 7b + 3b = 0 Combine like terms: 7b + 3b = 10b 5 + 3a + 10b = 0 Solving 5 + 3a + 10b = 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 + 3a + -5 + 10b = 0 + -5 Reorder the terms: 5 + -5 + 3a + 10b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a + 10b = 0 + -5 3a + 10b = 0 + -5 Combine like terms: 0 + -5 = -5 3a + 10b = -5 Add '-10b' to each side of the equation. 3a + 10b + -10b = -5 + -10b Combine like terms: 10b + -10b = 0 3a + 0 = -5 + -10b 3a = -5 + -10b Divide each side by '3'. a = -1.666666667 + -3.333333333b Simplifying a = -1.666666667 + -3.333333333b
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