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Simplifying 4g + 7 = 5g + -1a + -1g Reorder the terms: 7 + 4g = 5g + -1a + -1g Reorder the terms: 7 + 4g = -1a + 5g + -1g Combine like terms: 5g + -1g = 4g 7 + 4g = -1a + 4g Add '-4g' to each side of the equation. 7 + 4g + -4g = -1a + 4g + -4g Combine like terms: 4g + -4g = 0 7 + 0 = -1a + 4g + -4g 7 = -1a + 4g + -4g Combine like terms: 4g + -4g = 0 7 = -1a + 0 7 = -1a Solving 7 = -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7 + a = -1a + a Combine like terms: -1a + a = 0 7 + a = 0 Add '-7' to each side of the equation. 7 + -7 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7
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