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Simplifying -2b + 7 = 10 + 6b + -5b Reorder the terms: 7 + -2b = 10 + 6b + -5b Combine like terms: 6b + -5b = 1b 7 + -2b = 10 + 1b Solving 7 + -2b = 10 + 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 = 10 + 1b + -1b Combine like terms: -2b + -1b = -3b 7 + -3b = 10 + 1b + -1b Combine like terms: 1b + -1b = 0 7 + -3b = 10 + 0 7 + -3b = 10 Add '-7' to each side of the equation. 7 + -7 + -3b = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3b = 10 + -7 -3b = 10 + -7 Combine like terms: 10 + -7 = 3 -3b = 3 Divide each side by '-3'. b = -1 Simplifying b = -1
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