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Simplifying 24 + 6b = 5(4b + -3) Reorder the terms: 24 + 6b = 5(-3 + 4b) 24 + 6b = (-3 * 5 + 4b * 5) 24 + 6b = (-15 + 20b) Solving 24 + 6b = -15 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. 24 + 6b + -20b = -15 + 20b + -20b Combine like terms: 6b + -20b = -14b 24 + -14b = -15 + 20b + -20b Combine like terms: 20b + -20b = 0 24 + -14b = -15 + 0 24 + -14b = -15 Add '-24' to each side of the equation. 24 + -24 + -14b = -15 + -24 Combine like terms: 24 + -24 = 0 0 + -14b = -15 + -24 -14b = -15 + -24 Combine like terms: -15 + -24 = -39 -14b = -39 Divide each side by '-14'. b = 2.785714286 Simplifying b = 2.785714286
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