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Simplifying -24 = 7 + 9(b + -5) Reorder the terms: -24 = 7 + 9(-5 + b) -24 = 7 + (-5 * 9 + b * 9) -24 = 7 + (-45 + 9b) Combine like terms: 7 + -45 = -38 -24 = -38 + 9b Solving -24 = -38 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -24 + -9b = -38 + 9b + -9b Combine like terms: 9b + -9b = 0 -24 + -9b = -38 + 0 -24 + -9b = -38 Add '24' to each side of the equation. -24 + 24 + -9b = -38 + 24 Combine like terms: -24 + 24 = 0 0 + -9b = -38 + 24 -9b = -38 + 24 Combine like terms: -38 + 24 = -14 -9b = -14 Divide each side by '-9'. b = 1.555555556 Simplifying b = 1.555555556
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