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Simplifying -6(8b + -7) + -7 = 278 Reorder the terms: -6(-7 + 8b) + -7 = 278 (-7 * -6 + 8b * -6) + -7 = 278 (42 + -48b) + -7 = 278 Reorder the terms: 42 + -7 + -48b = 278 Combine like terms: 42 + -7 = 35 35 + -48b = 278 Solving 35 + -48b = 278 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -48b = 278 + -35 Combine like terms: 35 + -35 = 0 0 + -48b = 278 + -35 -48b = 278 + -35 Combine like terms: 278 + -35 = 243 -48b = 243 Divide each side by '-48'. b = -5.0625 Simplifying b = -5.0625
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