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Simplifying 5(b + -4) = 2b + 1 Reorder the terms: 5(-4 + b) = 2b + 1 (-4 * 5 + b * 5) = 2b + 1 (-20 + 5b) = 2b + 1 Reorder the terms: -20 + 5b = 1 + 2b Solving -20 + 5b = 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. -20 + 5b + -2b = 1 + 2b + -2b Combine like terms: 5b + -2b = 3b -20 + 3b = 1 + 2b + -2b Combine like terms: 2b + -2b = 0 -20 + 3b = 1 + 0 -20 + 3b = 1 Add '20' to each side of the equation. -20 + 20 + 3b = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 3b = 1 + 20 3b = 1 + 20 Combine like terms: 1 + 20 = 21 3b = 21 Divide each side by '3'. b = 7 Simplifying b = 7
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