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Simplifying 4(8 + -2b) = -17 + -1b (8 * 4 + -2b * 4) = -17 + -1b (32 + -8b) = -17 + -1b Solving 32 + -8b = -17 + -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. 32 + -8b + b = -17 + -1b + b Combine like terms: -8b + b = -7b 32 + -7b = -17 + -1b + b Combine like terms: -1b + b = 0 32 + -7b = -17 + 0 32 + -7b = -17 Add '-32' to each side of the equation. 32 + -32 + -7b = -17 + -32 Combine like terms: 32 + -32 = 0 0 + -7b = -17 + -32 -7b = -17 + -32 Combine like terms: -17 + -32 = -49 -7b = -49 Divide each side by '-7'. b = 7 Simplifying b = 7
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