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Simplifying -8b + 38 = -2(7b + -7) Reorder the terms: 38 + -8b = -2(7b + -7) Reorder the terms: 38 + -8b = -2(-7 + 7b) 38 + -8b = (-7 * -2 + 7b * -2) 38 + -8b = (14 + -14b) Solving 38 + -8b = 14 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. 38 + -8b + 14b = 14 + -14b + 14b Combine like terms: -8b + 14b = 6b 38 + 6b = 14 + -14b + 14b Combine like terms: -14b + 14b = 0 38 + 6b = 14 + 0 38 + 6b = 14 Add '-38' to each side of the equation. 38 + -38 + 6b = 14 + -38 Combine like terms: 38 + -38 = 0 0 + 6b = 14 + -38 6b = 14 + -38 Combine like terms: 14 + -38 = -24 6b = -24 Divide each side by '6'. b = -4 Simplifying b = -4
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