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Simplifying 2(2b + 2d) + -2(3c + 2d) = 0 (2b * 2 + 2d * 2) + -2(3c + 2d) = 0 (4b + 4d) + -2(3c + 2d) = 0 4b + 4d + (3c * -2 + 2d * -2) = 0 4b + 4d + (-6c + -4d) = 0 Reorder the terms: 4b + -6c + 4d + -4d = 0 Combine like terms: 4d + -4d = 0 4b + -6c + 0 = 0 4b + -6c = 0 Solving 4b + -6c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6c' to each side of the equation. 4b + -6c + 6c = 0 + 6c Combine like terms: -6c + 6c = 0 4b + 0 = 0 + 6c 4b = 0 + 6c Remove the zero: 4b = 6c Divide each side by '4'. b = 1.5c Simplifying b = 1.5c
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