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Simplifying 2(b + 3) + -17 = 3b + -7 + b Reorder the terms: 2(3 + b) + -17 = 3b + -7 + b (3 * 2 + b * 2) + -17 = 3b + -7 + b (6 + 2b) + -17 = 3b + -7 + b Reorder the terms: 6 + -17 + 2b = 3b + -7 + b Combine like terms: 6 + -17 = -11 -11 + 2b = 3b + -7 + b Reorder the terms: -11 + 2b = -7 + 3b + b Combine like terms: 3b + b = 4b -11 + 2b = -7 + 4b Solving -11 + 2b = -7 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -11 + 2b + -4b = -7 + 4b + -4b Combine like terms: 2b + -4b = -2b -11 + -2b = -7 + 4b + -4b Combine like terms: 4b + -4b = 0 -11 + -2b = -7 + 0 -11 + -2b = -7 Add '11' to each side of the equation. -11 + 11 + -2b = -7 + 11 Combine like terms: -11 + 11 = 0 0 + -2b = -7 + 11 -2b = -7 + 11 Combine like terms: -7 + 11 = 4 -2b = 4 Divide each side by '-2'. b = -2 Simplifying b = -2
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