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Simplifying -2 = b + -5(b + -6) Reorder the terms: -2 = b + -5(-6 + b) -2 = b + (-6 * -5 + b * -5) -2 = b + (30 + -5b) Reorder the terms: -2 = 30 + b + -5b Combine like terms: b + -5b = -4b -2 = 30 + -4b Solving -2 = 30 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -2 + 4b = 30 + -4b + 4b Combine like terms: -4b + 4b = 0 -2 + 4b = 30 + 0 -2 + 4b = 30 Add '2' to each side of the equation. -2 + 2 + 4b = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 4b = 30 + 2 4b = 30 + 2 Combine like terms: 30 + 2 = 32 4b = 32 Divide each side by '4'. b = 8 Simplifying b = 8
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