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Simplifying 2b + 7 = -4b + 1 + 5b Reorder the terms: 7 + 2b = -4b + 1 + 5b Reorder the terms: 7 + 2b = 1 + -4b + 5b Combine like terms: -4b + 5b = 1b 7 + 2b = 1 + 1b Solving 7 + 2b = 1 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 7 + 2b + -1b = 1 + 1b + -1b Combine like terms: 2b + -1b = 1b 7 + 1b = 1 + 1b + -1b Combine like terms: 1b + -1b = 0 7 + 1b = 1 + 0 7 + 1b = 1 Add '-7' to each side of the equation. 7 + -7 + 1b = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 1b = 1 + -7 1b = 1 + -7 Combine like terms: 1 + -7 = -6 1b = -6 Divide each side by '1'. b = -6 Simplifying b = -6
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