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Simplifying 5(b + 9) = 7(b + -5) Reorder the terms: 5(9 + b) = 7(b + -5) (9 * 5 + b * 5) = 7(b + -5) (45 + 5b) = 7(b + -5) Reorder the terms: 45 + 5b = 7(-5 + b) 45 + 5b = (-5 * 7 + b * 7) 45 + 5b = (-35 + 7b) Solving 45 + 5b = -35 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 45 + 5b + -7b = -35 + 7b + -7b Combine like terms: 5b + -7b = -2b 45 + -2b = -35 + 7b + -7b Combine like terms: 7b + -7b = 0 45 + -2b = -35 + 0 45 + -2b = -35 Add '-45' to each side of the equation. 45 + -45 + -2b = -35 + -45 Combine like terms: 45 + -45 = 0 0 + -2b = -35 + -45 -2b = -35 + -45 Combine like terms: -35 + -45 = -80 -2b = -80 Divide each side by '-2'. b = 40 Simplifying b = 40
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