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Simplifying 4(b + -5) = 8 + -3b Reorder the terms: 4(-5 + b) = 8 + -3b (-5 * 4 + b * 4) = 8 + -3b (-20 + 4b) = 8 + -3b Solving -20 + 4b = 8 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -20 + 4b + 3b = 8 + -3b + 3b Combine like terms: 4b + 3b = 7b -20 + 7b = 8 + -3b + 3b Combine like terms: -3b + 3b = 0 -20 + 7b = 8 + 0 -20 + 7b = 8 Add '20' to each side of the equation. -20 + 20 + 7b = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 7b = 8 + 20 7b = 8 + 20 Combine like terms: 8 + 20 = 28 7b = 28 Divide each side by '7'. b = 4 Simplifying b = 4
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