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Simplifying 4(2b + -1) = 2(b + 5) + 1 Reorder the terms: 4(-1 + 2b) = 2(b + 5) + 1 (-1 * 4 + 2b * 4) = 2(b + 5) + 1 (-4 + 8b) = 2(b + 5) + 1 Reorder the terms: -4 + 8b = 2(5 + b) + 1 -4 + 8b = (5 * 2 + b * 2) + 1 -4 + 8b = (10 + 2b) + 1 Reorder the terms: -4 + 8b = 10 + 1 + 2b Combine like terms: 10 + 1 = 11 -4 + 8b = 11 + 2b Solving -4 + 8b = 11 + 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. -4 + 8b + -2b = 11 + 2b + -2b Combine like terms: 8b + -2b = 6b -4 + 6b = 11 + 2b + -2b Combine like terms: 2b + -2b = 0 -4 + 6b = 11 + 0 -4 + 6b = 11 Add '4' to each side of the equation. -4 + 4 + 6b = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 6b = 11 + 4 6b = 11 + 4 Combine like terms: 11 + 4 = 15 6b = 15 Divide each side by '6'. b = 2.5 Simplifying b = 2.5
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