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Simplifying 7b + 10 = 4b + 1 Reorder the terms: 10 + 7b = 4b + 1 Reorder the terms: 10 + 7b = 1 + 4b Solving 10 + 7b = 1 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 10 + 7b + -4b = 1 + 4b + -4b Combine like terms: 7b + -4b = 3b 10 + 3b = 1 + 4b + -4b Combine like terms: 4b + -4b = 0 10 + 3b = 1 + 0 10 + 3b = 1 Add '-10' to each side of the equation. 10 + -10 + 3b = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 3b = 1 + -10 3b = 1 + -10 Combine like terms: 1 + -10 = -9 3b = -9 Divide each side by '3'. b = -3 Simplifying b = -3
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