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Simplifying b + a + 34 = 17b + -3a + -10 Reorder the terms: 34 + a + b = 17b + -3a + -10 Reorder the terms: 34 + a + b = -10 + -3a + 17b Solving 34 + a + b = -10 + -3a + 17b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 34 + a + 3a + b = -10 + -3a + 3a + 17b Combine like terms: a + 3a = 4a 34 + 4a + b = -10 + -3a + 3a + 17b Combine like terms: -3a + 3a = 0 34 + 4a + b = -10 + 0 + 17b 34 + 4a + b = -10 + 17b Add '-34' to each side of the equation. 34 + 4a + -34 + b = -10 + -34 + 17b Reorder the terms: 34 + -34 + 4a + b = -10 + -34 + 17b Combine like terms: 34 + -34 = 0 0 + 4a + b = -10 + -34 + 17b 4a + b = -10 + -34 + 17b Combine like terms: -10 + -34 = -44 4a + b = -44 + 17b Add '-1b' to each side of the equation. 4a + b + -1b = -44 + 17b + -1b Combine like terms: b + -1b = 0 4a + 0 = -44 + 17b + -1b 4a = -44 + 17b + -1b Combine like terms: 17b + -1b = 16b 4a = -44 + 16b Divide each side by '4'. a = -11 + 4b Simplifying a = -11 + 4b
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