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Simplifying -6(8b + 2) = 30 + -6b Reorder the terms: -6(2 + 8b) = 30 + -6b (2 * -6 + 8b * -6) = 30 + -6b (-12 + -48b) = 30 + -6b Solving -12 + -48b = 30 + -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. -12 + -48b + 6b = 30 + -6b + 6b Combine like terms: -48b + 6b = -42b -12 + -42b = 30 + -6b + 6b Combine like terms: -6b + 6b = 0 -12 + -42b = 30 + 0 -12 + -42b = 30 Add '12' to each side of the equation. -12 + 12 + -42b = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -42b = 30 + 12 -42b = 30 + 12 Combine like terms: 30 + 12 = 42 -42b = 42 Divide each side by '-42'. b = -1 Simplifying b = -1
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