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Simplifying 5(b + 2) + 8 = -6 + 8b Reorder the terms: 5(2 + b) + 8 = -6 + 8b (2 * 5 + b * 5) + 8 = -6 + 8b (10 + 5b) + 8 = -6 + 8b Reorder the terms: 10 + 8 + 5b = -6 + 8b Combine like terms: 10 + 8 = 18 18 + 5b = -6 + 8b Solving 18 + 5b = -6 + 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. 18 + 5b + -8b = -6 + 8b + -8b Combine like terms: 5b + -8b = -3b 18 + -3b = -6 + 8b + -8b Combine like terms: 8b + -8b = 0 18 + -3b = -6 + 0 18 + -3b = -6 Add '-18' to each side of the equation. 18 + -18 + -3b = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -3b = -6 + -18 -3b = -6 + -18 Combine like terms: -6 + -18 = -24 -3b = -24 Divide each side by '-3'. b = 8 Simplifying b = 8
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