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Simplifying 0.5d + -3b + 5 = 0 Reorder the terms: 5 + -3b + 0.5d = 0 Solving 5 + -3b + 0.5d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -3b + -5 + 0.5d = 0 + -5 Reorder the terms: 5 + -5 + -3b + 0.5d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3b + 0.5d = 0 + -5 -3b + 0.5d = 0 + -5 Combine like terms: 0 + -5 = -5 -3b + 0.5d = -5 Add '-0.5d' to each side of the equation. -3b + 0.5d + -0.5d = -5 + -0.5d Combine like terms: 0.5d + -0.5d = 0.0 -3b + 0.0 = -5 + -0.5d -3b = -5 + -0.5d Divide each side by '-3'. b = 1.666666667 + 0.1666666667d Simplifying b = 1.666666667 + 0.1666666667d
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