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Simplifying -6b + 14 = -5(1 + 2b) + -1 Reorder the terms: 14 + -6b = -5(1 + 2b) + -1 14 + -6b = (1 * -5 + 2b * -5) + -1 14 + -6b = (-5 + -10b) + -1 Reorder the terms: 14 + -6b = -5 + -1 + -10b Combine like terms: -5 + -1 = -6 14 + -6b = -6 + -10b Solving 14 + -6b = -6 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 14 + -6b + 10b = -6 + -10b + 10b Combine like terms: -6b + 10b = 4b 14 + 4b = -6 + -10b + 10b Combine like terms: -10b + 10b = 0 14 + 4b = -6 + 0 14 + 4b = -6 Add '-14' to each side of the equation. 14 + -14 + 4b = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 4b = -6 + -14 4b = -6 + -14 Combine like terms: -6 + -14 = -20 4b = -20 Divide each side by '4'. b = -5 Simplifying b = -5
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