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Simplifying 8 + -3(4b + -3) = 2(b + -5) + 3b Reorder the terms: 8 + -3(-3 + 4b) = 2(b + -5) + 3b 8 + (-3 * -3 + 4b * -3) = 2(b + -5) + 3b 8 + (9 + -12b) = 2(b + -5) + 3b Combine like terms: 8 + 9 = 17 17 + -12b = 2(b + -5) + 3b Reorder the terms: 17 + -12b = 2(-5 + b) + 3b 17 + -12b = (-5 * 2 + b * 2) + 3b 17 + -12b = (-10 + 2b) + 3b Combine like terms: 2b + 3b = 5b 17 + -12b = -10 + 5b Solving 17 + -12b = -10 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 17 + -12b + -5b = -10 + 5b + -5b Combine like terms: -12b + -5b = -17b 17 + -17b = -10 + 5b + -5b Combine like terms: 5b + -5b = 0 17 + -17b = -10 + 0 17 + -17b = -10 Add '-17' to each side of the equation. 17 + -17 + -17b = -10 + -17 Combine like terms: 17 + -17 = 0 0 + -17b = -10 + -17 -17b = -10 + -17 Combine like terms: -10 + -17 = -27 -17b = -27 Divide each side by '-17'. b = 1.588235294 Simplifying b = 1.588235294
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