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Simplifying -6(-2 + -7b) + -5 = 343 (-2 * -6 + -7b * -6) + -5 = 343 (12 + 42b) + -5 = 343 Reorder the terms: 12 + -5 + 42b = 343 Combine like terms: 12 + -5 = 7 7 + 42b = 343 Solving 7 + 42b = 343 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 42b = 343 + -7 Combine like terms: 7 + -7 = 0 0 + 42b = 343 + -7 42b = 343 + -7 Combine like terms: 343 + -7 = 336 42b = 336 Divide each side by '42'. b = 8 Simplifying b = 8
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