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Simplifying 11 = 8(2b + 2) + -5(1 + 3b) Reorder the terms: 11 = 8(2 + 2b) + -5(1 + 3b) 11 = (2 * 8 + 2b * 8) + -5(1 + 3b) 11 = (16 + 16b) + -5(1 + 3b) 11 = 16 + 16b + (1 * -5 + 3b * -5) 11 = 16 + 16b + (-5 + -15b) Reorder the terms: 11 = 16 + -5 + 16b + -15b Combine like terms: 16 + -5 = 11 11 = 11 + 16b + -15b Combine like terms: 16b + -15b = 1b 11 = 11 + 1b Add '-11' to each side of the equation. 11 + -11 = 11 + -11 + 1b Combine like terms: 11 + -11 = 0 0 = 11 + -11 + 1b Combine like terms: 11 + -11 = 0 0 = 0 + 1b 0 = 1b Solving 0 = 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 0 + -1b = 1b + -1b Remove the zero: -1b = 1b + -1b Combine like terms: 1b + -1b = 0 -1b = 0 Divide each side by '-1'. b = 0 Simplifying b = 0
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