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Simplifying 13a + -5b + 8a + 12b + 7 = 0 Reorder the terms: 7 + 13a + 8a + -5b + 12b = 0 Combine like terms: 13a + 8a = 21a 7 + 21a + -5b + 12b = 0 Combine like terms: -5b + 12b = 7b 7 + 21a + 7b = 0 Solving 7 + 21a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 21a + -7 + 7b = 0 + -7 Reorder the terms: 7 + -7 + 21a + 7b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 21a + 7b = 0 + -7 21a + 7b = 0 + -7 Combine like terms: 0 + -7 = -7 21a + 7b = -7 Add '-7b' to each side of the equation. 21a + 7b + -7b = -7 + -7b Combine like terms: 7b + -7b = 0 21a + 0 = -7 + -7b 21a = -7 + -7b Divide each side by '21'. a = -0.3333333333 + -0.3333333333b Simplifying a = -0.3333333333 + -0.3333333333b
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