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Simplifying 2(b + 8) = 10(b + 7) Reorder the terms: 2(8 + b) = 10(b + 7) (8 * 2 + b * 2) = 10(b + 7) (16 + 2b) = 10(b + 7) Reorder the terms: 16 + 2b = 10(7 + b) 16 + 2b = (7 * 10 + b * 10) 16 + 2b = (70 + 10b) Solving 16 + 2b = 70 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 16 + 2b + -10b = 70 + 10b + -10b Combine like terms: 2b + -10b = -8b 16 + -8b = 70 + 10b + -10b Combine like terms: 10b + -10b = 0 16 + -8b = 70 + 0 16 + -8b = 70 Add '-16' to each side of the equation. 16 + -16 + -8b = 70 + -16 Combine like terms: 16 + -16 = 0 0 + -8b = 70 + -16 -8b = 70 + -16 Combine like terms: 70 + -16 = 54 -8b = 54 Divide each side by '-8'. b = -6.75 Simplifying b = -6.75
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