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Simplifying -2(b + 1) = 2(-7 + -3b) Reorder the terms: -2(1 + b) = 2(-7 + -3b) (1 * -2 + b * -2) = 2(-7 + -3b) (-2 + -2b) = 2(-7 + -3b) -2 + -2b = (-7 * 2 + -3b * 2) -2 + -2b = (-14 + -6b) Solving -2 + -2b = -14 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -2 + -2b + 6b = -14 + -6b + 6b Combine like terms: -2b + 6b = 4b -2 + 4b = -14 + -6b + 6b Combine like terms: -6b + 6b = 0 -2 + 4b = -14 + 0 -2 + 4b = -14 Add '2' to each side of the equation. -2 + 2 + 4b = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 4b = -14 + 2 4b = -14 + 2 Combine like terms: -14 + 2 = -12 4b = -12 Divide each side by '4'. b = -3 Simplifying b = -3
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