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Simplifying 3(2b + -5c + d) = 0 (2b * 3 + -5c * 3 + d * 3) = 0 (6b + -15c + 3d) = 0 Solving 6b + -15c + 3d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15c' to each side of the equation. 6b + -15c + 15c + 3d = 0 + 15c Combine like terms: -15c + 15c = 0 6b + 0 + 3d = 0 + 15c 6b + 3d = 0 + 15c Remove the zero: 6b + 3d = 15c Add '-3d' to each side of the equation. 6b + 3d + -3d = 15c + -3d Combine like terms: 3d + -3d = 0 6b + 0 = 15c + -3d 6b = 15c + -3d Divide each side by '6'. b = 2.5c + -0.5d Simplifying b = 2.5c + -0.5d
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