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Simplifying 3(a + b) + b + -5 + -1a + 7(b + -3) = 0 (a * 3 + b * 3) + b + -5 + -1a + 7(b + -3) = 0 (3a + 3b) + b + -5 + -1a + 7(b + -3) = 0 Reorder the terms: 3a + 3b + b + -5 + -1a + 7(-3 + b) = 0 3a + 3b + b + -5 + -1a + (-3 * 7 + b * 7) = 0 3a + 3b + b + -5 + -1a + (-21 + 7b) = 0 Reorder the terms: -5 + -21 + 3a + -1a + 3b + b + 7b = 0 Combine like terms: -5 + -21 = -26 -26 + 3a + -1a + 3b + b + 7b = 0 Combine like terms: 3a + -1a = 2a -26 + 2a + 3b + b + 7b = 0 Combine like terms: 3b + b = 4b -26 + 2a + 4b + 7b = 0 Combine like terms: 4b + 7b = 11b -26 + 2a + 11b = 0 Solving -26 + 2a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 2a + 26 + 11b = 0 + 26 Reorder the terms: -26 + 26 + 2a + 11b = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 2a + 11b = 0 + 26 2a + 11b = 0 + 26 Combine like terms: 0 + 26 = 26 2a + 11b = 26 Add '-11b' to each side of the equation. 2a + 11b + -11b = 26 + -11b Combine like terms: 11b + -11b = 0 2a + 0 = 26 + -11b 2a = 26 + -11b Divide each side by '2'. a = 13 + -5.5b Simplifying a = 13 + -5.5b
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