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Simplifying 2b + 8(b + 6) = -6(-8 + 6b) Reorder the terms: 2b + 8(6 + b) = -6(-8 + 6b) 2b + (6 * 8 + b * 8) = -6(-8 + 6b) 2b + (48 + 8b) = -6(-8 + 6b) Reorder the terms: 48 + 2b + 8b = -6(-8 + 6b) Combine like terms: 2b + 8b = 10b 48 + 10b = -6(-8 + 6b) 48 + 10b = (-8 * -6 + 6b * -6) 48 + 10b = (48 + -36b) Add '-48' to each side of the equation. 48 + -48 + 10b = 48 + -48 + -36b Combine like terms: 48 + -48 = 0 0 + 10b = 48 + -48 + -36b 10b = 48 + -48 + -36b Combine like terms: 48 + -48 = 0 10b = 0 + -36b 10b = -36b Solving 10b = -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. 10b + 36b = -36b + 36b Combine like terms: 10b + 36b = 46b 46b = -36b + 36b Combine like terms: -36b + 36b = 0 46b = 0 Divide each side by '46'. b = 0 Simplifying b = 0
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