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Simplifying 5a + 4(-5 + -3g) = 1 + -1g 5a + (-5 * 4 + -3g * 4) = 1 + -1g 5a + (-20 + -12g) = 1 + -1g Reorder the terms: -20 + 5a + -12g = 1 + -1g Solving -20 + 5a + -12g = 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 + 5a + 20 + -12g = 1 + 20 + -1g Reorder the terms: -20 + 20 + 5a + -12g = 1 + 20 + -1g Combine like terms: -20 + 20 = 0 0 + 5a + -12g = 1 + 20 + -1g 5a + -12g = 1 + 20 + -1g Combine like terms: 1 + 20 = 21 5a + -12g = 21 + -1g Add '12g' to each side of the equation. 5a + -12g + 12g = 21 + -1g + 12g Combine like terms: -12g + 12g = 0 5a + 0 = 21 + -1g + 12g 5a = 21 + -1g + 12g Combine like terms: -1g + 12g = 11g 5a = 21 + 11g Divide each side by '5'. a = 4.2 + 2.2g Simplifying a = 4.2 + 2.2g
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