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Simplifying -6(b + 2) = 6(8 + -2b) Reorder the terms: -6(2 + b) = 6(8 + -2b) (2 * -6 + b * -6) = 6(8 + -2b) (-12 + -6b) = 6(8 + -2b) -12 + -6b = (8 * 6 + -2b * 6) -12 + -6b = (48 + -12b) Solving -12 + -6b = 48 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -12 + -6b + 12b = 48 + -12b + 12b Combine like terms: -6b + 12b = 6b -12 + 6b = 48 + -12b + 12b Combine like terms: -12b + 12b = 0 -12 + 6b = 48 + 0 -12 + 6b = 48 Add '12' to each side of the equation. -12 + 12 + 6b = 48 + 12 Combine like terms: -12 + 12 = 0 0 + 6b = 48 + 12 6b = 48 + 12 Combine like terms: 48 + 12 = 60 6b = 60 Divide each side by '6'. b = 10 Simplifying b = 10
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