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Simplifying -8(5b + -3) + 2 = 26 + -7b Reorder the terms: -8(-3 + 5b) + 2 = 26 + -7b (-3 * -8 + 5b * -8) + 2 = 26 + -7b (24 + -40b) + 2 = 26 + -7b Reorder the terms: 24 + 2 + -40b = 26 + -7b Combine like terms: 24 + 2 = 26 26 + -40b = 26 + -7b Add '-26' to each side of the equation. 26 + -26 + -40b = 26 + -26 + -7b Combine like terms: 26 + -26 = 0 0 + -40b = 26 + -26 + -7b -40b = 26 + -26 + -7b Combine like terms: 26 + -26 = 0 -40b = 0 + -7b -40b = -7b Solving -40b = -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -40b + 7b = -7b + 7b Combine like terms: -40b + 7b = -33b -33b = -7b + 7b Combine like terms: -7b + 7b = 0 -33b = 0 Divide each side by '-33'. b = 0 Simplifying b = 0
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