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Simplifying 2(b + -1) + -12 = 4(b + 5) Reorder the terms: 2(-1 + b) + -12 = 4(b + 5) (-1 * 2 + b * 2) + -12 = 4(b + 5) (-2 + 2b) + -12 = 4(b + 5) Reorder the terms: -2 + -12 + 2b = 4(b + 5) Combine like terms: -2 + -12 = -14 -14 + 2b = 4(b + 5) Reorder the terms: -14 + 2b = 4(5 + b) -14 + 2b = (5 * 4 + b * 4) -14 + 2b = (20 + 4b) Solving -14 + 2b = 20 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -14 + 2b + -4b = 20 + 4b + -4b Combine like terms: 2b + -4b = -2b -14 + -2b = 20 + 4b + -4b Combine like terms: 4b + -4b = 0 -14 + -2b = 20 + 0 -14 + -2b = 20 Add '14' to each side of the equation. -14 + 14 + -2b = 20 + 14 Combine like terms: -14 + 14 = 0 0 + -2b = 20 + 14 -2b = 20 + 14 Combine like terms: 20 + 14 = 34 -2b = 34 Divide each side by '-2'. b = -17 Simplifying b = -17
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