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Simplifying 7(5 + -4b) + -1 = 8 + -2b (5 * 7 + -4b * 7) + -1 = 8 + -2b (35 + -28b) + -1 = 8 + -2b Reorder the terms: 35 + -1 + -28b = 8 + -2b Combine like terms: 35 + -1 = 34 34 + -28b = 8 + -2b Solving 34 + -28b = 8 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 34 + -28b + 2b = 8 + -2b + 2b Combine like terms: -28b + 2b = -26b 34 + -26b = 8 + -2b + 2b Combine like terms: -2b + 2b = 0 34 + -26b = 8 + 0 34 + -26b = 8 Add '-34' to each side of the equation. 34 + -34 + -26b = 8 + -34 Combine like terms: 34 + -34 = 0 0 + -26b = 8 + -34 -26b = 8 + -34 Combine like terms: 8 + -34 = -26 -26b = -26 Divide each side by '-26'. b = 1 Simplifying b = 1
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