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Simplifying 4(2b + -1) = 5 + -2(b + -8) Reorder the terms: 4(-1 + 2b) = 5 + -2(b + -8) (-1 * 4 + 2b * 4) = 5 + -2(b + -8) (-4 + 8b) = 5 + -2(b + -8) Reorder the terms: -4 + 8b = 5 + -2(-8 + b) -4 + 8b = 5 + (-8 * -2 + b * -2) -4 + 8b = 5 + (16 + -2b) Combine like terms: 5 + 16 = 21 -4 + 8b = 21 + -2b Solving -4 + 8b = 21 + -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 = 21 + -2b + 2b Combine like terms: 8b + 2b = 10b -4 + 10b = 21 + -2b + 2b Combine like terms: -2b + 2b = 0 -4 + 10b = 21 + 0 -4 + 10b = 21 Add '4' to each side of the equation. -4 + 4 + 10b = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 10b = 21 + 4 10b = 21 + 4 Combine like terms: 21 + 4 = 25 10b = 25 Divide each side by '10'. b = 2.5 Simplifying b = 2.5
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