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Simplifying 3g + 3(-7 + 4g) = 1 + -1g 3g + (-7 * 3 + 4g * 3) = 1 + -1g 3g + (-21 + 12g) = 1 + -1g Reorder the terms: -21 + 3g + 12g = 1 + -1g Combine like terms: 3g + 12g = 15g -21 + 15g = 1 + -1g Solving -21 + 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. -21 + 15g + g = 1 + -1g + g Combine like terms: 15g + g = 16g -21 + 16g = 1 + -1g + g Combine like terms: -1g + g = 0 -21 + 16g = 1 + 0 -21 + 16g = 1 Add '21' to each side of the equation. -21 + 21 + 16g = 1 + 21 Combine like terms: -21 + 21 = 0 0 + 16g = 1 + 21 16g = 1 + 21 Combine like terms: 1 + 21 = 22 16g = 22 Divide each side by '16'. g = 1.375 Simplifying g = 1.375
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