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Simplifying -6(b + -2) = -2(2b + -5) Reorder the terms: -6(-2 + b) = -2(2b + -5) (-2 * -6 + b * -6) = -2(2b + -5) (12 + -6b) = -2(2b + -5) Reorder the terms: 12 + -6b = -2(-5 + 2b) 12 + -6b = (-5 * -2 + 2b * -2) 12 + -6b = (10 + -4b) Solving 12 + -6b = 10 + -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. 12 + -6b + 4b = 10 + -4b + 4b Combine like terms: -6b + 4b = -2b 12 + -2b = 10 + -4b + 4b Combine like terms: -4b + 4b = 0 12 + -2b = 10 + 0 12 + -2b = 10 Add '-12' to each side of the equation. 12 + -12 + -2b = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2b = 10 + -12 -2b = 10 + -12 Combine like terms: 10 + -12 = -2 -2b = -2 Divide each side by '-2'. b = 1 Simplifying b = 1
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