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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 = -2b 10 + -2b = 9 + -3b + 3b Combine like terms: -3b + 3b = 0 10 + -2b = 9 + 0 10 + -2b = 9 Add '-10' to each side of the equation. 10 + -10 + -2b = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -2b = 9 + -10 -2b = 9 + -10 Combine like terms: 9 + -10 = -1 -2b = -1 Divide each side by '-2'. b = 0.5 Simplifying b = 0.5
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