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Simplifying 3a + 7b + -6 + 5a + -2b + 7 = 0 Reorder the terms: -6 + 7 + 3a + 5a + 7b + -2b = 0 Combine like terms: -6 + 7 = 1 1 + 3a + 5a + 7b + -2b = 0 Combine like terms: 3a + 5a = 8a 1 + 8a + 7b + -2b = 0 Combine like terms: 7b + -2b = 5b 1 + 8a + 5b = 0 Solving 1 + 8a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 8a + -1 + 5b = 0 + -1 Reorder the terms: 1 + -1 + 8a + 5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8a + 5b = 0 + -1 8a + 5b = 0 + -1 Combine like terms: 0 + -1 = -1 8a + 5b = -1 Add '-5b' to each side of the equation. 8a + 5b + -5b = -1 + -5b Combine like terms: 5b + -5b = 0 8a + 0 = -1 + -5b 8a = -1 + -5b Divide each side by '8'. a = -0.125 + -0.625b Simplifying a = -0.125 + -0.625b
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