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Simplifying 7a + 12b + -6a + 7 = 0 Reorder the terms: 7 + 7a + -6a + 12b = 0 Combine like terms: 7a + -6a = 1a 7 + 1a + 12b = 0 Solving 7 + 1a + 12b = 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 + 1a + -7 + 12b = 0 + -7 Reorder the terms: 7 + -7 + 1a + 12b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1a + 12b = 0 + -7 1a + 12b = 0 + -7 Combine like terms: 0 + -7 = -7 1a + 12b = -7 Add '-12b' to each side of the equation. 1a + 12b + -12b = -7 + -12b Combine like terms: 12b + -12b = 0 1a + 0 = -7 + -12b 1a = -7 + -12b Divide each side by '1'. a = -7 + -12b Simplifying a = -7 + -12b
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