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Simplifying 3(-4g + -1) + -9g = 6(4 + -1g) + 3 Reorder the terms: 3(-1 + -4g) + -9g = 6(4 + -1g) + 3 (-1 * 3 + -4g * 3) + -9g = 6(4 + -1g) + 3 (-3 + -12g) + -9g = 6(4 + -1g) + 3 Combine like terms: -12g + -9g = -21g -3 + -21g = 6(4 + -1g) + 3 -3 + -21g = (4 * 6 + -1g * 6) + 3 -3 + -21g = (24 + -6g) + 3 Reorder the terms: -3 + -21g = 24 + 3 + -6g Combine like terms: 24 + 3 = 27 -3 + -21g = 27 + -6g Solving -3 + -21g = 27 + -6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6g' to each side of the equation. -3 + -21g + 6g = 27 + -6g + 6g Combine like terms: -21g + 6g = -15g -3 + -15g = 27 + -6g + 6g Combine like terms: -6g + 6g = 0 -3 + -15g = 27 + 0 -3 + -15g = 27 Add '3' to each side of the equation. -3 + 3 + -15g = 27 + 3 Combine like terms: -3 + 3 = 0 0 + -15g = 27 + 3 -15g = 27 + 3 Combine like terms: 27 + 3 = 30 -15g = 30 Divide each side by '-15'. g = -2 Simplifying g = -2
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