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Simplifying 5b + 14 = -2(2 + -4b) Reorder the terms: 14 + 5b = -2(2 + -4b) 14 + 5b = (2 * -2 + -4b * -2) 14 + 5b = (-4 + 8b) Solving 14 + 5b = -4 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 14 + 5b + -8b = -4 + 8b + -8b Combine like terms: 5b + -8b = -3b 14 + -3b = -4 + 8b + -8b Combine like terms: 8b + -8b = 0 14 + -3b = -4 + 0 14 + -3b = -4 Add '-14' to each side of the equation. 14 + -14 + -3b = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -3b = -4 + -14 -3b = -4 + -14 Combine like terms: -4 + -14 = -18 -3b = -18 Divide each side by '-3'. b = 6 Simplifying b = 6
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