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Simplifying 15b + 13c + -12b + 10c + 8 = 0 Reorder the terms: 8 + 15b + -12b + 13c + 10c = 0 Combine like terms: 15b + -12b = 3b 8 + 3b + 13c + 10c = 0 Combine like terms: 13c + 10c = 23c 8 + 3b + 23c = 0 Solving 8 + 3b + 23c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 3b + -8 + 23c = 0 + -8 Reorder the terms: 8 + -8 + 3b + 23c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3b + 23c = 0 + -8 3b + 23c = 0 + -8 Combine like terms: 0 + -8 = -8 3b + 23c = -8 Add '-23c' to each side of the equation. 3b + 23c + -23c = -8 + -23c Combine like terms: 23c + -23c = 0 3b + 0 = -8 + -23c 3b = -8 + -23c Divide each side by '3'. b = -2.666666667 + -7.666666667c Simplifying b = -2.666666667 + -7.666666667c
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