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Simplifying 3g + 4(-5 + g) = 1 + -1g 3g + (-5 * 4 + g * 4) = 1 + -1g 3g + (-20 + 4g) = 1 + -1g Reorder the terms: -20 + 3g + 4g = 1 + -1g Combine like terms: 3g + 4g = 7g -20 + 7g = 1 + -1g Solving -20 + 7g = 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 + 7g + g = 1 + -1g + g Combine like terms: 7g + g = 8g -20 + 8g = 1 + -1g + g Combine like terms: -1g + g = 0 -20 + 8g = 1 + 0 -20 + 8g = 1 Add '20' to each side of the equation. -20 + 20 + 8g = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 8g = 1 + 20 8g = 1 + 20 Combine like terms: 1 + 20 = 21 8g = 21 Divide each side by '8'. g = 2.625 Simplifying g = 2.625
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