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