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Simplifying -17 = -4(2 + 8b) + -3(b + 3) -17 = (2 * -4 + 8b * -4) + -3(b + 3) -17 = (-8 + -32b) + -3(b + 3) Reorder the terms: -17 = -8 + -32b + -3(3 + b) -17 = -8 + -32b + (3 * -3 + b * -3) -17 = -8 + -32b + (-9 + -3b) Reorder the terms: -17 = -8 + -9 + -32b + -3b Combine like terms: -8 + -9 = -17 -17 = -17 + -32b + -3b Combine like terms: -32b + -3b = -35b -17 = -17 + -35b Add '17' to each side of the equation. -17 + 17 = -17 + 17 + -35b Combine like terms: -17 + 17 = 0 0 = -17 + 17 + -35b Combine like terms: -17 + 17 = 0 0 = 0 + -35b 0 = -35b Solving 0 = -35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '35b' to each side of the equation. 0 + 35b = -35b + 35b Remove the zero: 35b = -35b + 35b Combine like terms: -35b + 35b = 0 35b = 0 Divide each side by '35'. b = 0 Simplifying b = 0
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