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Simplifying 5(2 + -1b) = -3(b + -5) (2 * 5 + -1b * 5) = -3(b + -5) (10 + -5b) = -3(b + -5) Reorder the terms: 10 + -5b = -3(-5 + b) 10 + -5b = (-5 * -3 + b * -3) 10 + -5b = (15 + -3b) Solving 10 + -5b = 15 + -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 = 15 + -3b + 3b Combine like terms: -5b + 3b = -2b 10 + -2b = 15 + -3b + 3b Combine like terms: -3b + 3b = 0 10 + -2b = 15 + 0 10 + -2b = 15 Add '-10' to each side of the equation. 10 + -10 + -2b = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -2b = 15 + -10 -2b = 15 + -10 Combine like terms: 15 + -10 = 5 -2b = 5 Divide each side by '-2'. b = -2.5 Simplifying b = -2.5
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