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Simplifying -2(10 + -1b) + -6b = 6(b + 5) (10 * -2 + -1b * -2) + -6b = 6(b + 5) (-20 + 2b) + -6b = 6(b + 5) Combine like terms: 2b + -6b = -4b -20 + -4b = 6(b + 5) Reorder the terms: -20 + -4b = 6(5 + b) -20 + -4b = (5 * 6 + b * 6) -20 + -4b = (30 + 6b) Solving -20 + -4b = 30 + 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. -20 + -4b + -6b = 30 + 6b + -6b Combine like terms: -4b + -6b = -10b -20 + -10b = 30 + 6b + -6b Combine like terms: 6b + -6b = 0 -20 + -10b = 30 + 0 -20 + -10b = 30 Add '20' to each side of the equation. -20 + 20 + -10b = 30 + 20 Combine like terms: -20 + 20 = 0 0 + -10b = 30 + 20 -10b = 30 + 20 Combine like terms: 30 + 20 = 50 -10b = 50 Divide each side by '-10'. b = -5 Simplifying b = -5
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