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Simplifying 2(a + 4) + -3g = 1 + g Reorder the terms: 2(4 + a) + -3g = 1 + g (4 * 2 + a * 2) + -3g = 1 + g (8 + 2a) + -3g = 1 + g Solving 8 + 2a + -3g = 1 + g Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2a + -8 + -3g = 1 + -8 + g Reorder the terms: 8 + -8 + 2a + -3g = 1 + -8 + g Combine like terms: 8 + -8 = 0 0 + 2a + -3g = 1 + -8 + g 2a + -3g = 1 + -8 + g Combine like terms: 1 + -8 = -7 2a + -3g = -7 + g Add '3g' to each side of the equation. 2a + -3g + 3g = -7 + g + 3g Combine like terms: -3g + 3g = 0 2a + 0 = -7 + g + 3g 2a = -7 + g + 3g Combine like terms: g + 3g = 4g 2a = -7 + 4g Divide each side by '2'. a = -3.5 + 2g Simplifying a = -3.5 + 2g
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