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Simplifying 5(b + 2) + -5b = -14 + 3b Reorder the terms: 5(2 + b) + -5b = -14 + 3b (2 * 5 + b * 5) + -5b = -14 + 3b (10 + 5b) + -5b = -14 + 3b Combine like terms: 5b + -5b = 0 10 + 0 = -14 + 3b 10 = -14 + 3b Solving 10 = -14 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 10 + -3b = -14 + 3b + -3b Combine like terms: 3b + -3b = 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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