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Simplifying 5(2 + -1b) = 3(b + -3) (2 * 5 + -1b * 5) = 3(b + -3) (10 + -5b) = 3(b + -3) Reorder the terms: 10 + -5b = 3(-3 + b) 10 + -5b = (-3 * 3 + b * 3) 10 + -5b = (-9 + 3b) Solving 10 + -5b = -9 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 10 + -5b + -3b = -9 + 3b + -3b Combine like terms: -5b + -3b = -8b 10 + -8b = -9 + 3b + -3b Combine like terms: 3b + -3b = 0 10 + -8b = -9 + 0 10 + -8b = -9 Add '-10' to each side of the equation. 10 + -10 + -8b = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -8b = -9 + -10 -8b = -9 + -10 Combine like terms: -9 + -10 = -19 -8b = -19 Divide each side by '-8'. b = 2.375 Simplifying b = 2.375
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