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Simplifying -6(b + 6) = 6(6 + b) Reorder the terms: -6(6 + b) = 6(6 + b) (6 * -6 + b * -6) = 6(6 + b) (-36 + -6b) = 6(6 + b) -36 + -6b = (6 * 6 + b * 6) -36 + -6b = (36 + 6b) Solving -36 + -6b = 36 + 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. -36 + -6b + -6b = 36 + 6b + -6b Combine like terms: -6b + -6b = -12b -36 + -12b = 36 + 6b + -6b Combine like terms: 6b + -6b = 0 -36 + -12b = 36 + 0 -36 + -12b = 36 Add '36' to each side of the equation. -36 + 36 + -12b = 36 + 36 Combine like terms: -36 + 36 = 0 0 + -12b = 36 + 36 -12b = 36 + 36 Combine like terms: 36 + 36 = 72 -12b = 72 Divide each side by '-12'. b = -6 Simplifying b = -6
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