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Simplifying 2(3b + 5) + -1 = 10b + 1 Reorder the terms: 2(5 + 3b) + -1 = 10b + 1 (5 * 2 + 3b * 2) + -1 = 10b + 1 (10 + 6b) + -1 = 10b + 1 Reorder the terms: 10 + -1 + 6b = 10b + 1 Combine like terms: 10 + -1 = 9 9 + 6b = 10b + 1 Reorder the terms: 9 + 6b = 1 + 10b Solving 9 + 6b = 1 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 9 + 6b + -10b = 1 + 10b + -10b Combine like terms: 6b + -10b = -4b 9 + -4b = 1 + 10b + -10b Combine like terms: 10b + -10b = 0 9 + -4b = 1 + 0 9 + -4b = 1 Add '-9' to each side of the equation. 9 + -9 + -4b = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -4b = 1 + -9 -4b = 1 + -9 Combine like terms: 1 + -9 = -8 -4b = -8 Divide each side by '-4'. b = 2 Simplifying b = 2
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