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Simplifying -2(b + 5) = 12 + b Reorder the terms: -2(5 + b) = 12 + b (5 * -2 + b * -2) = 12 + b (-10 + -2b) = 12 + b Solving -10 + -2b = 12 + b 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. -10 + -2b + -1b = 12 + b + -1b Combine like terms: -2b + -1b = -3b -10 + -3b = 12 + b + -1b Combine like terms: b + -1b = 0 -10 + -3b = 12 + 0 -10 + -3b = 12 Add '10' to each side of the equation. -10 + 10 + -3b = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -3b = 12 + 10 -3b = 12 + 10 Combine like terms: 12 + 10 = 22 -3b = 22 Divide each side by '-3'. b = -7.333333333 Simplifying b = -7.333333333
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