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Simplifying 3a + 2b + -5 + 3b = 6a + 2b + 10 Reorder the terms: -5 + 3a + 2b + 3b = 6a + 2b + 10 Combine like terms: 2b + 3b = 5b -5 + 3a + 5b = 6a + 2b + 10 Reorder the terms: -5 + 3a + 5b = 10 + 6a + 2b Solving -5 + 3a + 5b = 10 + 6a + 2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -5 + 3a + -6a + 5b = 10 + 6a + -6a + 2b Combine like terms: 3a + -6a = -3a -5 + -3a + 5b = 10 + 6a + -6a + 2b Combine like terms: 6a + -6a = 0 -5 + -3a + 5b = 10 + 0 + 2b -5 + -3a + 5b = 10 + 2b Add '5' to each side of the equation. -5 + -3a + 5 + 5b = 10 + 5 + 2b Reorder the terms: -5 + 5 + -3a + 5b = 10 + 5 + 2b Combine like terms: -5 + 5 = 0 0 + -3a + 5b = 10 + 5 + 2b -3a + 5b = 10 + 5 + 2b Combine like terms: 10 + 5 = 15 -3a + 5b = 15 + 2b Add '-5b' to each side of the equation. -3a + 5b + -5b = 15 + 2b + -5b Combine like terms: 5b + -5b = 0 -3a + 0 = 15 + 2b + -5b -3a = 15 + 2b + -5b Combine like terms: 2b + -5b = -3b -3a = 15 + -3b Divide each side by '-3'. a = -5 + b Simplifying a = -5 + b
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