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Simplifying 4(8b + -5) = 18 + -6b Reorder the terms: 4(-5 + 8b) = 18 + -6b (-5 * 4 + 8b * 4) = 18 + -6b (-20 + 32b) = 18 + -6b Solving -20 + 32b = 18 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -20 + 32b + 6b = 18 + -6b + 6b Combine like terms: 32b + 6b = 38b -20 + 38b = 18 + -6b + 6b Combine like terms: -6b + 6b = 0 -20 + 38b = 18 + 0 -20 + 38b = 18 Add '20' to each side of the equation. -20 + 20 + 38b = 18 + 20 Combine like terms: -20 + 20 = 0 0 + 38b = 18 + 20 38b = 18 + 20 Combine like terms: 18 + 20 = 38 38b = 38 Divide each side by '38'. b = 1 Simplifying b = 1
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