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Simplifying 2(8 + -8b) + 7 = 39 + -8b (8 * 2 + -8b * 2) + 7 = 39 + -8b (16 + -16b) + 7 = 39 + -8b Reorder the terms: 16 + 7 + -16b = 39 + -8b Combine like terms: 16 + 7 = 23 23 + -16b = 39 + -8b Solving 23 + -16b = 39 + -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. 23 + -16b + 8b = 39 + -8b + 8b Combine like terms: -16b + 8b = -8b 23 + -8b = 39 + -8b + 8b Combine like terms: -8b + 8b = 0 23 + -8b = 39 + 0 23 + -8b = 39 Add '-23' to each side of the equation. 23 + -23 + -8b = 39 + -23 Combine like terms: 23 + -23 = 0 0 + -8b = 39 + -23 -8b = 39 + -23 Combine like terms: 39 + -23 = 16 -8b = 16 Divide each side by '-8'. b = -2 Simplifying b = -2
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