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Simplifying 4 + -1(3b + -8) = 2b + -17 Reorder the terms: 4 + -1(-8 + 3b) = 2b + -17 4 + (-8 * -1 + 3b * -1) = 2b + -17 4 + (8 + -3b) = 2b + -17 Combine like terms: 4 + 8 = 12 12 + -3b = 2b + -17 Reorder the terms: 12 + -3b = -17 + 2b Solving 12 + -3b = -17 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 12 + -3b + -2b = -17 + 2b + -2b Combine like terms: -3b + -2b = -5b 12 + -5b = -17 + 2b + -2b Combine like terms: 2b + -2b = 0 12 + -5b = -17 + 0 12 + -5b = -17 Add '-12' to each side of the equation. 12 + -12 + -5b = -17 + -12 Combine like terms: 12 + -12 = 0 0 + -5b = -17 + -12 -5b = -17 + -12 Combine like terms: -17 + -12 = -29 -5b = -29 Divide each side by '-5'. b = 5.8 Simplifying b = 5.8
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