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Simplifying 9(b + -5) = 4b + -5 Reorder the terms: 9(-5 + b) = 4b + -5 (-5 * 9 + b * 9) = 4b + -5 (-45 + 9b) = 4b + -5 Reorder the terms: -45 + 9b = -5 + 4b Solving -45 + 9b = -5 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -45 + 9b + -4b = -5 + 4b + -4b Combine like terms: 9b + -4b = 5b -45 + 5b = -5 + 4b + -4b Combine like terms: 4b + -4b = 0 -45 + 5b = -5 + 0 -45 + 5b = -5 Add '45' to each side of the equation. -45 + 45 + 5b = -5 + 45 Combine like terms: -45 + 45 = 0 0 + 5b = -5 + 45 5b = -5 + 45 Combine like terms: -5 + 45 = 40 5b = 40 Divide each side by '5'. b = 8 Simplifying b = 8
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