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Simplifying 5(1 + -3b) = 11 + -3(2b + -1) (1 * 5 + -3b * 5) = 11 + -3(2b + -1) (5 + -15b) = 11 + -3(2b + -1) Reorder the terms: 5 + -15b = 11 + -3(-1 + 2b) 5 + -15b = 11 + (-1 * -3 + 2b * -3) 5 + -15b = 11 + (3 + -6b) Combine like terms: 11 + 3 = 14 5 + -15b = 14 + -6b Solving 5 + -15b = 14 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 5 + -15b + 6b = 14 + -6b + 6b Combine like terms: -15b + 6b = -9b 5 + -9b = 14 + -6b + 6b Combine like terms: -6b + 6b = 0 5 + -9b = 14 + 0 5 + -9b = 14 Add '-5' to each side of the equation. 5 + -5 + -9b = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -9b = 14 + -5 -9b = 14 + -5 Combine like terms: 14 + -5 = 9 -9b = 9 Divide each side by '-9'. b = -1 Simplifying b = -1
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