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Simplifying 6(0.666b + -4) = 2b + 1 Reorder the terms: 6(-4 + 0.666b) = 2b + 1 (-4 * 6 + 0.666b * 6) = 2b + 1 (-24 + 3.996b) = 2b + 1 Reorder the terms: -24 + 3.996b = 1 + 2b Solving -24 + 3.996b = 1 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -24 + 3.996b + -2b = 1 + 2b + -2b Combine like terms: 3.996b + -2b = 1.996b -24 + 1.996b = 1 + 2b + -2b Combine like terms: 2b + -2b = 0 -24 + 1.996b = 1 + 0 -24 + 1.996b = 1 Add '24' to each side of the equation. -24 + 24 + 1.996b = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 1.996b = 1 + 24 1.996b = 1 + 24 Combine like terms: 1 + 24 = 25 1.996b = 25 Divide each side by '1.996'. b = 12.5250501 Simplifying b = 12.5250501
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