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Simplifying 5(b + -2) = 2b + 14 Reorder the terms: 5(-2 + b) = 2b + 14 (-2 * 5 + b * 5) = 2b + 14 (-10 + 5b) = 2b + 14 Reorder the terms: -10 + 5b = 14 + 2b Solving -10 + 5b = 14 + 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. -10 + 5b + -2b = 14 + 2b + -2b Combine like terms: 5b + -2b = 3b -10 + 3b = 14 + 2b + -2b Combine like terms: 2b + -2b = 0 -10 + 3b = 14 + 0 -10 + 3b = 14 Add '10' to each side of the equation. -10 + 10 + 3b = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 3b = 14 + 10 3b = 14 + 10 Combine like terms: 14 + 10 = 24 3b = 24 Divide each side by '3'. b = 8 Simplifying b = 8
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