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Simplifying -4b + 26 = -7(2b + -8) Reorder the terms: 26 + -4b = -7(2b + -8) Reorder the terms: 26 + -4b = -7(-8 + 2b) 26 + -4b = (-8 * -7 + 2b * -7) 26 + -4b = (56 + -14b) Solving 26 + -4b = 56 + -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. 26 + -4b + 14b = 56 + -14b + 14b Combine like terms: -4b + 14b = 10b 26 + 10b = 56 + -14b + 14b Combine like terms: -14b + 14b = 0 26 + 10b = 56 + 0 26 + 10b = 56 Add '-26' to each side of the equation. 26 + -26 + 10b = 56 + -26 Combine like terms: 26 + -26 = 0 0 + 10b = 56 + -26 10b = 56 + -26 Combine like terms: 56 + -26 = 30 10b = 30 Divide each side by '10'. b = 3 Simplifying b = 3
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