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Simplifying 3a + -2 + 7 = 4a + -3b + 10 Reorder the terms: -2 + 7 + 3a = 4a + -3b + 10 Combine like terms: -2 + 7 = 5 5 + 3a = 4a + -3b + 10 Reorder the terms: 5 + 3a = 10 + 4a + -3b Solving 5 + 3a = 10 + 4a + -3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 5 + 3a + -4a = 10 + 4a + -4a + -3b Combine like terms: 3a + -4a = -1a 5 + -1a = 10 + 4a + -4a + -3b Combine like terms: 4a + -4a = 0 5 + -1a = 10 + 0 + -3b 5 + -1a = 10 + -3b Add '-5' to each side of the equation. 5 + -5 + -1a = 10 + -5 + -3b Combine like terms: 5 + -5 = 0 0 + -1a = 10 + -5 + -3b -1a = 10 + -5 + -3b Combine like terms: 10 + -5 = 5 -1a = 5 + -3b Divide each side by '-1'. a = -5 + 3b Simplifying a = -5 + 3b
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