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Simplifying 3g + 4(-6g + 3g) = 1 + -1g Combine like terms: -6g + 3g = -3g 3g + 4(-3g) = 1 + -1g Remove parenthesis around (-3g) 3g + 4 * -3g = 1 + -1g Multiply 4 * -3 3g + -12g = 1 + -1g Combine like terms: 3g + -12g = -9g -9g = 1 + -1g Solving -9g = 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. -9g + g = 1 + -1g + g Combine like terms: -9g + g = -8g -8g = 1 + -1g + g Combine like terms: -1g + g = 0 -8g = 1 + 0 -8g = 1 Divide each side by '-8'. g = -0.125 Simplifying g = -0.125
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