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Simplifying 2a + 3(1 + -5a + -2g) + 2g = 0 2a + (1 * 3 + -5a * 3 + -2g * 3) + 2g = 0 2a + (3 + -15a + -6g) + 2g = 0 Reorder the terms: 3 + 2a + -15a + -6g + 2g = 0 Combine like terms: 2a + -15a = -13a 3 + -13a + -6g + 2g = 0 Combine like terms: -6g + 2g = -4g 3 + -13a + -4g = 0 Solving 3 + -13a + -4g = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -13a + -3 + -4g = 0 + -3 Reorder the terms: 3 + -3 + -13a + -4g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -13a + -4g = 0 + -3 -13a + -4g = 0 + -3 Combine like terms: 0 + -3 = -3 -13a + -4g = -3 Add '4g' to each side of the equation. -13a + -4g + 4g = -3 + 4g Combine like terms: -4g + 4g = 0 -13a + 0 = -3 + 4g -13a = -3 + 4g Divide each side by '-13'. a = 0.2307692308 + -0.3076923077g Simplifying a = 0.2307692308 + -0.3076923077g
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