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Simplifying 3a + -5b + 7 + 8b + -4a + 3 = 0 Reorder the terms: 7 + 3 + 3a + -4a + -5b + 8b = 0 Combine like terms: 7 + 3 = 10 10 + 3a + -4a + -5b + 8b = 0 Combine like terms: 3a + -4a = -1a 10 + -1a + -5b + 8b = 0 Combine like terms: -5b + 8b = 3b 10 + -1a + 3b = 0 Solving 10 + -1a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -1a + -10 + 3b = 0 + -10 Reorder the terms: 10 + -10 + -1a + 3b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1a + 3b = 0 + -10 -1a + 3b = 0 + -10 Combine like terms: 0 + -10 = -10 -1a + 3b = -10 Add '-3b' to each side of the equation. -1a + 3b + -3b = -10 + -3b Combine like terms: 3b + -3b = 0 -1a + 0 = -10 + -3b -1a = -10 + -3b Divide each side by '-1'. a = 10 + 3b Simplifying a = 10 + 3b
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