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Simplifying a + b + -34 + 7a + -21 + -1a = 0 Reorder the terms: -34 + -21 + a + 7a + -1a + b = 0 Combine like terms: -34 + -21 = -55 -55 + a + 7a + -1a + b = 0 Combine like terms: a + 7a = 8a -55 + 8a + -1a + b = 0 Combine like terms: 8a + -1a = 7a -55 + 7a + b = 0 Solving -55 + 7a + b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 7a + 55 + b = 0 + 55 Reorder the terms: -55 + 55 + 7a + b = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 7a + b = 0 + 55 7a + b = 0 + 55 Combine like terms: 0 + 55 = 55 7a + b = 55 Add '-1b' to each side of the equation. 7a + b + -1b = 55 + -1b Combine like terms: b + -1b = 0 7a + 0 = 55 + -1b 7a = 55 + -1b Divide each side by '7'. a = 7.857142857 + -0.1428571429b Simplifying a = 7.857142857 + -0.1428571429b
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