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Simplifying -7(-7b + 2) + 8b = 214 Reorder the terms: -7(2 + -7b) + 8b = 214 (2 * -7 + -7b * -7) + 8b = 214 (-14 + 49b) + 8b = 214 Combine like terms: 49b + 8b = 57b -14 + 57b = 214 Solving -14 + 57b = 214 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 57b = 214 + 14 Combine like terms: -14 + 14 = 0 0 + 57b = 214 + 14 57b = 214 + 14 Combine like terms: 214 + 14 = 228 57b = 228 Divide each side by '57'. b = 4 Simplifying b = 4
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