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Simplifying 14 + -1b = 2(b + 4) Reorder the terms: 14 + -1b = 2(4 + b) 14 + -1b = (4 * 2 + b * 2) 14 + -1b = (8 + 2b) Solving 14 + -1b = 8 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 14 + -1b + -2b = 8 + 2b + -2b Combine like terms: -1b + -2b = -3b 14 + -3b = 8 + 2b + -2b Combine like terms: 2b + -2b = 0 14 + -3b = 8 + 0 14 + -3b = 8 Add '-14' to each side of the equation. 14 + -14 + -3b = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -3b = 8 + -14 -3b = 8 + -14 Combine like terms: 8 + -14 = -6 -3b = -6 Divide each side by '-3'. b = 2 Simplifying b = 2
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