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Simplifying 6b + -6(1 + -6b) = 6(-6 + 6b) 6b + (1 * -6 + -6b * -6) = 6(-6 + 6b) 6b + (-6 + 36b) = 6(-6 + 6b) Reorder the terms: -6 + 6b + 36b = 6(-6 + 6b) Combine like terms: 6b + 36b = 42b -6 + 42b = 6(-6 + 6b) -6 + 42b = (-6 * 6 + 6b * 6) -6 + 42b = (-36 + 36b) Solving -6 + 42b = -36 + 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. -6 + 42b + -36b = -36 + 36b + -36b Combine like terms: 42b + -36b = 6b -6 + 6b = -36 + 36b + -36b Combine like terms: 36b + -36b = 0 -6 + 6b = -36 + 0 -6 + 6b = -36 Add '6' to each side of the equation. -6 + 6 + 6b = -36 + 6 Combine like terms: -6 + 6 = 0 0 + 6b = -36 + 6 6b = -36 + 6 Combine like terms: -36 + 6 = -30 6b = -30 Divide each side by '6'. b = -5 Simplifying b = -5
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