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Simplifying 0.625b + -6 = 0.5b + 12 Reorder the terms: -6 + 0.625b = 0.5b + 12 Reorder the terms: -6 + 0.625b = 12 + 0.5b Solving -6 + 0.625b = 12 + 0.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.5b' to each side of the equation. -6 + 0.625b + -0.5b = 12 + 0.5b + -0.5b Combine like terms: 0.625b + -0.5b = 0.125b -6 + 0.125b = 12 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 -6 + 0.125b = 12 + 0.0 -6 + 0.125b = 12 Add '6' to each side of the equation. -6 + 6 + 0.125b = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 0.125b = 12 + 6 0.125b = 12 + 6 Combine like terms: 12 + 6 = 18 0.125b = 18 Divide each side by '0.125'. b = 144 Simplifying b = 144
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