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Simplifying 3(2b + -2) = 3(4b + -1) + b Reorder the terms: 3(-2 + 2b) = 3(4b + -1) + b (-2 * 3 + 2b * 3) = 3(4b + -1) + b (-6 + 6b) = 3(4b + -1) + b Reorder the terms: -6 + 6b = 3(-1 + 4b) + b -6 + 6b = (-1 * 3 + 4b * 3) + b -6 + 6b = (-3 + 12b) + b Combine like terms: 12b + b = 13b -6 + 6b = -3 + 13b Solving -6 + 6b = -3 + 13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13b' to each side of the equation. -6 + 6b + -13b = -3 + 13b + -13b Combine like terms: 6b + -13b = -7b -6 + -7b = -3 + 13b + -13b Combine like terms: 13b + -13b = 0 -6 + -7b = -3 + 0 -6 + -7b = -3 Add '6' to each side of the equation. -6 + 6 + -7b = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -7b = -3 + 6 -7b = -3 + 6 Combine like terms: -3 + 6 = 3 -7b = 3 Divide each side by '-7'. b = -0.4285714286 Simplifying b = -0.4285714286
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