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Simplifying 3a + -2b + 7 = 4a + -3b + 10 Reorder the terms: 7 + 3a + -2b = 4a + -3b + 10 Reorder the terms: 7 + 3a + -2b = 10 + 4a + -3b Solving 7 + 3a + -2b = 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. 7 + 3a + -4a + -2b = 10 + 4a + -4a + -3b Combine like terms: 3a + -4a = -1a 7 + -1a + -2b = 10 + 4a + -4a + -3b Combine like terms: 4a + -4a = 0 7 + -1a + -2b = 10 + 0 + -3b 7 + -1a + -2b = 10 + -3b Add '-7' to each side of the equation. 7 + -1a + -7 + -2b = 10 + -7 + -3b Reorder the terms: 7 + -7 + -1a + -2b = 10 + -7 + -3b Combine like terms: 7 + -7 = 0 0 + -1a + -2b = 10 + -7 + -3b -1a + -2b = 10 + -7 + -3b Combine like terms: 10 + -7 = 3 -1a + -2b = 3 + -3b Add '2b' to each side of the equation. -1a + -2b + 2b = 3 + -3b + 2b Combine like terms: -2b + 2b = 0 -1a + 0 = 3 + -3b + 2b -1a = 3 + -3b + 2b Combine like terms: -3b + 2b = -1b -1a = 3 + -1b Divide each side by '-1'. a = -3 + b Simplifying a = -3 + b
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