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Simplifying 75 + -9b = 5(-4 + 2b) 75 + -9b = (-4 * 5 + 2b * 5) 75 + -9b = (-20 + 10b) Solving 75 + -9b = -20 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 75 + -9b + -10b = -20 + 10b + -10b Combine like terms: -9b + -10b = -19b 75 + -19b = -20 + 10b + -10b Combine like terms: 10b + -10b = 0 75 + -19b = -20 + 0 75 + -19b = -20 Add '-75' to each side of the equation. 75 + -75 + -19b = -20 + -75 Combine like terms: 75 + -75 = 0 0 + -19b = -20 + -75 -19b = -20 + -75 Combine like terms: -20 + -75 = -95 -19b = -95 Divide each side by '-19'. b = 5 Simplifying b = 5
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