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Simplifying -6(3 + -7b) = -6(5 + -6b) (3 * -6 + -7b * -6) = -6(5 + -6b) (-18 + 42b) = -6(5 + -6b) -18 + 42b = (5 * -6 + -6b * -6) -18 + 42b = (-30 + 36b) Solving -18 + 42b = -30 + 36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36b' to each side of the equation. -18 + 42b + -36b = -30 + 36b + -36b Combine like terms: 42b + -36b = 6b -18 + 6b = -30 + 36b + -36b Combine like terms: 36b + -36b = 0 -18 + 6b = -30 + 0 -18 + 6b = -30 Add '18' to each side of the equation. -18 + 18 + 6b = -30 + 18 Combine like terms: -18 + 18 = 0 0 + 6b = -30 + 18 6b = -30 + 18 Combine like terms: -30 + 18 = -12 6b = -12 Divide each side by '6'. b = -2 Simplifying b = -2
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