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Simplifying 15b + 13c + -12b + 8 = 0 Reorder the terms: 8 + 15b + -12b + 13c = 0 Combine like terms: 15b + -12b = 3b 8 + 3b + 13c = 0 Solving 8 + 3b + 13c = 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 + 13c = 0 + -8 Reorder the terms: 8 + -8 + 3b + 13c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3b + 13c = 0 + -8 3b + 13c = 0 + -8 Combine like terms: 0 + -8 = -8 3b + 13c = -8 Add '-13c' to each side of the equation. 3b + 13c + -13c = -8 + -13c Combine like terms: 13c + -13c = 0 3b + 0 = -8 + -13c 3b = -8 + -13c Divide each side by '3'. b = -2.666666667 + -4.333333333c Simplifying b = -2.666666667 + -4.333333333c
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