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Simplifying 0 = 5(b + 5g) + 6(2b + -2g) 0 = (b * 5 + 5g * 5) + 6(2b + -2g) 0 = (5b + 25g) + 6(2b + -2g) 0 = 5b + 25g + (2b * 6 + -2g * 6) 0 = 5b + 25g + (12b + -12g) Reorder the terms: 0 = 5b + 12b + 25g + -12g Combine like terms: 5b + 12b = 17b 0 = 17b + 25g + -12g Combine like terms: 25g + -12g = 13g 0 = 17b + 13g Solving 0 = 17b + 13g Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17b' to each side of the equation. 0 + -17b = 17b + -17b + 13g Remove the zero: -17b = 17b + -17b + 13g Combine like terms: 17b + -17b = 0 -17b = 0 + 13g -17b = 13g Divide each side by '-17'. b = -0.7647058824g Simplifying b = -0.7647058824g
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