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Simplifying 2c + 3b + 12 + 5r = 0 Reorder the terms: 12 + 3b + 2c + 5r = 0 Solving 12 + 3b + 2c + 5r = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3b + 2c + -12 + 5r = 0 + -12 Reorder the terms: 12 + -12 + 3b + 2c + 5r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3b + 2c + 5r = 0 + -12 3b + 2c + 5r = 0 + -12 Combine like terms: 0 + -12 = -12 3b + 2c + 5r = -12 Add '-2c' to each side of the equation. 3b + 2c + -2c + 5r = -12 + -2c Combine like terms: 2c + -2c = 0 3b + 0 + 5r = -12 + -2c 3b + 5r = -12 + -2c Add '-5r' to each side of the equation. 3b + 5r + -5r = -12 + -2c + -5r Combine like terms: 5r + -5r = 0 3b + 0 = -12 + -2c + -5r 3b = -12 + -2c + -5r Divide each side by '3'. b = -4 + -0.6666666667c + -1.666666667r Simplifying b = -4 + -0.6666666667c + -1.666666667r
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