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Simplifying 2(2b + -7) + -4b = 2(b + -7) + -2 Reorder the terms: 2(-7 + 2b) + -4b = 2(b + -7) + -2 (-7 * 2 + 2b * 2) + -4b = 2(b + -7) + -2 (-14 + 4b) + -4b = 2(b + -7) + -2 Combine like terms: 4b + -4b = 0 -14 + 0 = 2(b + -7) + -2 -14 = 2(b + -7) + -2 Reorder the terms: -14 = 2(-7 + b) + -2 -14 = (-7 * 2 + b * 2) + -2 -14 = (-14 + 2b) + -2 Reorder the terms: -14 = -14 + -2 + 2b Combine like terms: -14 + -2 = -16 -14 = -16 + 2b Solving -14 = -16 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -14 + -2b = -16 + 2b + -2b Combine like terms: 2b + -2b = 0 -14 + -2b = -16 + 0 -14 + -2b = -16 Add '14' to each side of the equation. -14 + 14 + -2b = -16 + 14 Combine like terms: -14 + 14 = 0 0 + -2b = -16 + 14 -2b = -16 + 14 Combine like terms: -16 + 14 = -2 -2b = -2 Divide each side by '-2'. b = 1 Simplifying b = 1
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