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Simplifying 11b + 2b + -7 = -3(3b + -1) + -3 Reorder the terms: -7 + 11b + 2b = -3(3b + -1) + -3 Combine like terms: 11b + 2b = 13b -7 + 13b = -3(3b + -1) + -3 Reorder the terms: -7 + 13b = -3(-1 + 3b) + -3 -7 + 13b = (-1 * -3 + 3b * -3) + -3 -7 + 13b = (3 + -9b) + -3 Reorder the terms: -7 + 13b = 3 + -3 + -9b Combine like terms: 3 + -3 = 0 -7 + 13b = 0 + -9b -7 + 13b = -9b Solving -7 + 13b = -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -7 + 13b + 9b = -9b + 9b Combine like terms: 13b + 9b = 22b -7 + 22b = -9b + 9b Combine like terms: -9b + 9b = 0 -7 + 22b = 0 Add '7' to each side of the equation. -7 + 7 + 22b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 22b = 0 + 7 22b = 0 + 7 Combine like terms: 0 + 7 = 7 22b = 7 Divide each side by '22'. b = 0.3181818182 Simplifying b = 0.3181818182
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