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Simplifying 6g + 3(-4 + 5g) = 1 + -1g 6g + (-4 * 3 + 5g * 3) = 1 + -1g 6g + (-12 + 15g) = 1 + -1g Reorder the terms: -12 + 6g + 15g = 1 + -1g Combine like terms: 6g + 15g = 21g -12 + 21g = 1 + -1g Solving -12 + 21g = 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. -12 + 21g + g = 1 + -1g + g Combine like terms: 21g + g = 22g -12 + 22g = 1 + -1g + g Combine like terms: -1g + g = 0 -12 + 22g = 1 + 0 -12 + 22g = 1 Add '12' to each side of the equation. -12 + 12 + 22g = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 22g = 1 + 12 22g = 1 + 12 Combine like terms: 1 + 12 = 13 22g = 13 Divide each side by '22'. g = 0.5909090909 Simplifying g = 0.5909090909
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