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Simplifying -5 + 17 = 6b + -1 + -5b Combine like terms: -5 + 17 = 12 12 = 6b + -1 + -5b Reorder the terms: 12 = -1 + 6b + -5b Combine like terms: 6b + -5b = 1b 12 = -1 + 1b Solving 12 = -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. 12 + -1b = -1 + 1b + -1b Combine like terms: 1b + -1b = 0 12 + -1b = -1 + 0 12 + -1b = -1 Add '-12' to each side of the equation. 12 + -12 + -1b = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -1b = -1 + -12 -1b = -1 + -12 Combine like terms: -1 + -12 = -13 -1b = -13 Divide each side by '-1'. b = 13 Simplifying b = 13
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