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Simplifying -6(b + 1) + 96 = 29 + 8b Reorder the terms: -6(1 + b) + 96 = 29 + 8b (1 * -6 + b * -6) + 96 = 29 + 8b (-6 + -6b) + 96 = 29 + 8b Reorder the terms: -6 + 96 + -6b = 29 + 8b Combine like terms: -6 + 96 = 90 90 + -6b = 29 + 8b Solving 90 + -6b = 29 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 90 + -6b + -8b = 29 + 8b + -8b Combine like terms: -6b + -8b = -14b 90 + -14b = 29 + 8b + -8b Combine like terms: 8b + -8b = 0 90 + -14b = 29 + 0 90 + -14b = 29 Add '-90' to each side of the equation. 90 + -90 + -14b = 29 + -90 Combine like terms: 90 + -90 = 0 0 + -14b = 29 + -90 -14b = 29 + -90 Combine like terms: 29 + -90 = -61 -14b = -61 Divide each side by '-14'. b = 4.357142857 Simplifying b = 4.357142857
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