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Simplifying 8 + -2(5 + 3b) = 23 + -1b 8 + (5 * -2 + 3b * -2) = 23 + -1b 8 + (-10 + -6b) = 23 + -1b Combine like terms: 8 + -10 = -2 -2 + -6b = 23 + -1b Solving -2 + -6b = 23 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -2 + -6b + b = 23 + -1b + b Combine like terms: -6b + b = -5b -2 + -5b = 23 + -1b + b Combine like terms: -1b + b = 0 -2 + -5b = 23 + 0 -2 + -5b = 23 Add '2' to each side of the equation. -2 + 2 + -5b = 23 + 2 Combine like terms: -2 + 2 = 0 0 + -5b = 23 + 2 -5b = 23 + 2 Combine like terms: 23 + 2 = 25 -5b = 25 Divide each side by '-5'. b = -5 Simplifying b = -5
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