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Simplifying 7(-1 + -1b) = -8b + -12 (-1 * 7 + -1b * 7) = -8b + -12 (-7 + -7b) = -8b + -12 Reorder the terms: -7 + -7b = -12 + -8b Solving -7 + -7b = -12 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -7 + -7b + 8b = -12 + -8b + 8b Combine like terms: -7b + 8b = 1b -7 + 1b = -12 + -8b + 8b Combine like terms: -8b + 8b = 0 -7 + 1b = -12 + 0 -7 + 1b = -12 Add '7' to each side of the equation. -7 + 7 + 1b = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 1b = -12 + 7 1b = -12 + 7 Combine like terms: -12 + 7 = -5 1b = -5 Divide each side by '1'. b = -5 Simplifying b = -5
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