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Simplifying 3g + 4(-5 + 3g) = 1 + -1g 3g + (-5 * 4 + 3g * 4) = 1 + -1g 3g + (-20 + 12g) = 1 + -1g Reorder the terms: -20 + 3g + 12g = 1 + -1g Combine like terms: 3g + 12g = 15g -20 + 15g = 1 + -1g Solving -20 + 15g = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -20 + 15g + g = 1 + -1g + g Combine like terms: 15g + g = 16g -20 + 16g = 1 + -1g + g Combine like terms: -1g + g = 0 -20 + 16g = 1 + 0 -20 + 16g = 1 Add '20' to each side of the equation. -20 + 20 + 16g = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 16g = 1 + 20 16g = 1 + 20 Combine like terms: 1 + 20 = 21 16g = 21 Divide each side by '16'. g = 1.3125 Simplifying g = 1.3125
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