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Simplifying 4a + b + 19 = 9b + a + -48 Reorder the terms: 19 + 4a + b = 9b + a + -48 Reorder the terms: 19 + 4a + b = -48 + a + 9b Solving 19 + 4a + b = -48 + a + 9b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 19 + 4a + -1a + b = -48 + a + -1a + 9b Combine like terms: 4a + -1a = 3a 19 + 3a + b = -48 + a + -1a + 9b Combine like terms: a + -1a = 0 19 + 3a + b = -48 + 0 + 9b 19 + 3a + b = -48 + 9b Add '-19' to each side of the equation. 19 + 3a + -19 + b = -48 + -19 + 9b Reorder the terms: 19 + -19 + 3a + b = -48 + -19 + 9b Combine like terms: 19 + -19 = 0 0 + 3a + b = -48 + -19 + 9b 3a + b = -48 + -19 + 9b Combine like terms: -48 + -19 = -67 3a + b = -67 + 9b Add '-1b' to each side of the equation. 3a + b + -1b = -67 + 9b + -1b Combine like terms: b + -1b = 0 3a + 0 = -67 + 9b + -1b 3a = -67 + 9b + -1b Combine like terms: 9b + -1b = 8b 3a = -67 + 8b Divide each side by '3'. a = -22.33333333 + 2.666666667b Simplifying a = -22.33333333 + 2.666666667b
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