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Simplifying 7a + -3b + 5 + 7a + -9b = 0 Reorder the terms: 5 + 7a + 7a + -3b + -9b = 0 Combine like terms: 7a + 7a = 14a 5 + 14a + -3b + -9b = 0 Combine like terms: -3b + -9b = -12b 5 + 14a + -12b = 0 Solving 5 + 14a + -12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 14a + -5 + -12b = 0 + -5 Reorder the terms: 5 + -5 + 14a + -12b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 14a + -12b = 0 + -5 14a + -12b = 0 + -5 Combine like terms: 0 + -5 = -5 14a + -12b = -5 Add '12b' to each side of the equation. 14a + -12b + 12b = -5 + 12b Combine like terms: -12b + 12b = 0 14a + 0 = -5 + 12b 14a = -5 + 12b Divide each side by '14'. a = -0.3571428571 + 0.8571428571b Simplifying a = -0.3571428571 + 0.8571428571b
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