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Simplifying 3(1 + b) + -5b = 11 + -3b (1 * 3 + b * 3) + -5b = 11 + -3b (3 + 3b) + -5b = 11 + -3b Combine like terms: 3b + -5b = -2b 3 + -2b = 11 + -3b Solving 3 + -2b = 11 + -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. 3 + -2b + 3b = 11 + -3b + 3b Combine like terms: -2b + 3b = 1b 3 + 1b = 11 + -3b + 3b Combine like terms: -3b + 3b = 0 3 + 1b = 11 + 0 3 + 1b = 11 Add '-3' to each side of the equation. 3 + -3 + 1b = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 1b = 11 + -3 1b = 11 + -3 Combine like terms: 11 + -3 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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