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Simplifying 32 = 9(5b + -7) Reorder the terms: 32 = 9(-7 + 5b) 32 = (-7 * 9 + 5b * 9) 32 = (-63 + 45b) Solving 32 = -63 + 45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45b' to each side of the equation. 32 + -45b = -63 + 45b + -45b Combine like terms: 45b + -45b = 0 32 + -45b = -63 + 0 32 + -45b = -63 Add '-32' to each side of the equation. 32 + -32 + -45b = -63 + -32 Combine like terms: 32 + -32 = 0 0 + -45b = -63 + -32 -45b = -63 + -32 Combine like terms: -63 + -32 = -95 -45b = -95 Divide each side by '-45'. b = 2.111111111 Simplifying b = 2.111111111
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