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Simplifying 5(2b + 3) = 8(3b + -3) Reorder the terms: 5(3 + 2b) = 8(3b + -3) (3 * 5 + 2b * 5) = 8(3b + -3) (15 + 10b) = 8(3b + -3) Reorder the terms: 15 + 10b = 8(-3 + 3b) 15 + 10b = (-3 * 8 + 3b * 8) 15 + 10b = (-24 + 24b) Solving 15 + 10b = -24 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. 15 + 10b + -24b = -24 + 24b + -24b Combine like terms: 10b + -24b = -14b 15 + -14b = -24 + 24b + -24b Combine like terms: 24b + -24b = 0 15 + -14b = -24 + 0 15 + -14b = -24 Add '-15' to each side of the equation. 15 + -15 + -14b = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -14b = -24 + -15 -14b = -24 + -15 Combine like terms: -24 + -15 = -39 -14b = -39 Divide each side by '-14'. b = 2.785714286 Simplifying b = 2.785714286
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