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Simplifying -11b + 17b + 1 = -16 + 7b Reorder the terms: 1 + -11b + 17b = -16 + 7b Combine like terms: -11b + 17b = 6b 1 + 6b = -16 + 7b Solving 1 + 6b = -16 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 1 + 6b + -7b = -16 + 7b + -7b Combine like terms: 6b + -7b = -1b 1 + -1b = -16 + 7b + -7b Combine like terms: 7b + -7b = 0 1 + -1b = -16 + 0 1 + -1b = -16 Add '-1' to each side of the equation. 1 + -1 + -1b = -16 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = -16 + -1 -1b = -16 + -1 Combine like terms: -16 + -1 = -17 -1b = -17 Divide each side by '-1'. b = 17 Simplifying b = 17
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