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Simplifying 14 + -5b = -2(1 + 7b) + -2 14 + -5b = (1 * -2 + 7b * -2) + -2 14 + -5b = (-2 + -14b) + -2 Reorder the terms: 14 + -5b = -2 + -2 + -14b Combine like terms: -2 + -2 = -4 14 + -5b = -4 + -14b Solving 14 + -5b = -4 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. 14 + -5b + 14b = -4 + -14b + 14b Combine like terms: -5b + 14b = 9b 14 + 9b = -4 + -14b + 14b Combine like terms: -14b + 14b = 0 14 + 9b = -4 + 0 14 + 9b = -4 Add '-14' to each side of the equation. 14 + -14 + 9b = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 9b = -4 + -14 9b = -4 + -14 Combine like terms: -4 + -14 = -18 9b = -18 Divide each side by '9'. b = -2 Simplifying b = -2
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