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Simplifying -8(-5b + -7) + 2 = 338 Reorder the terms: -8(-7 + -5b) + 2 = 338 (-7 * -8 + -5b * -8) + 2 = 338 (56 + 40b) + 2 = 338 Reorder the terms: 56 + 2 + 40b = 338 Combine like terms: 56 + 2 = 58 58 + 40b = 338 Solving 58 + 40b = 338 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 40b = 338 + -58 Combine like terms: 58 + -58 = 0 0 + 40b = 338 + -58 40b = 338 + -58 Combine like terms: 338 + -58 = 280 40b = 280 Divide each side by '40'. b = 7 Simplifying b = 7
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