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Simplifying -5a + -6g + 12a + -4g + 7 = 0 Reorder the terms: 7 + -5a + 12a + -6g + -4g = 0 Combine like terms: -5a + 12a = 7a 7 + 7a + -6g + -4g = 0 Combine like terms: -6g + -4g = -10g 7 + 7a + -10g = 0 Solving 7 + 7a + -10g = 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 + 7a + -7 + -10g = 0 + -7 Reorder the terms: 7 + -7 + 7a + -10g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7a + -10g = 0 + -7 7a + -10g = 0 + -7 Combine like terms: 0 + -7 = -7 7a + -10g = -7 Add '10g' to each side of the equation. 7a + -10g + 10g = -7 + 10g Combine like terms: -10g + 10g = 0 7a + 0 = -7 + 10g 7a = -7 + 10g Divide each side by '7'. a = -1 + 1.428571429g Simplifying a = -1 + 1.428571429g
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