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Simplifying 8b + 2c + 7b + -15c + 4d = 0 Reorder the terms: 8b + 7b + 2c + -15c + 4d = 0 Combine like terms: 8b + 7b = 15b 15b + 2c + -15c + 4d = 0 Combine like terms: 2c + -15c = -13c 15b + -13c + 4d = 0 Solving 15b + -13c + 4d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13c' to each side of the equation. 15b + -13c + 13c + 4d = 0 + 13c Combine like terms: -13c + 13c = 0 15b + 0 + 4d = 0 + 13c 15b + 4d = 0 + 13c Remove the zero: 15b + 4d = 13c Add '-4d' to each side of the equation. 15b + 4d + -4d = 13c + -4d Combine like terms: 4d + -4d = 0 15b + 0 = 13c + -4d 15b = 13c + -4d Divide each side by '15'. b = 0.8666666667c + -0.2666666667d Simplifying b = 0.8666666667c + -0.2666666667d
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