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Simplifying -5b + 29 = 6b + -16 + b Reorder the terms: 29 + -5b = 6b + -16 + b Reorder the terms: 29 + -5b = -16 + 6b + b Combine like terms: 6b + b = 7b 29 + -5b = -16 + 7b Solving 29 + -5b = -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. 29 + -5b + -7b = -16 + 7b + -7b Combine like terms: -5b + -7b = -12b 29 + -12b = -16 + 7b + -7b Combine like terms: 7b + -7b = 0 29 + -12b = -16 + 0 29 + -12b = -16 Add '-29' to each side of the equation. 29 + -29 + -12b = -16 + -29 Combine like terms: 29 + -29 = 0 0 + -12b = -16 + -29 -12b = -16 + -29 Combine like terms: -16 + -29 = -45 -12b = -45 Divide each side by '-12'. b = 3.75 Simplifying b = 3.75
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