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Simplifying 5g + 4(-5 + 3a) = 1 + -1g 5g + (-5 * 4 + 3a * 4) = 1 + -1g 5g + (-20 + 12a) = 1 + -1g Reorder the terms: -20 + 12a + 5g = 1 + -1g Solving -20 + 12a + 5g = 1 + -1g Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 12a + 20 + 5g = 1 + 20 + -1g Reorder the terms: -20 + 20 + 12a + 5g = 1 + 20 + -1g Combine like terms: -20 + 20 = 0 0 + 12a + 5g = 1 + 20 + -1g 12a + 5g = 1 + 20 + -1g Combine like terms: 1 + 20 = 21 12a + 5g = 21 + -1g Add '-5g' to each side of the equation. 12a + 5g + -5g = 21 + -1g + -5g Combine like terms: 5g + -5g = 0 12a + 0 = 21 + -1g + -5g 12a = 21 + -1g + -5g Combine like terms: -1g + -5g = -6g 12a = 21 + -6g Divide each side by '12'. a = 1.75 + -0.5g Simplifying a = 1.75 + -0.5g
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