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Simplifying 2b + -17 = 7 + 2(7b + 6) Reorder the terms: -17 + 2b = 7 + 2(7b + 6) Reorder the terms: -17 + 2b = 7 + 2(6 + 7b) -17 + 2b = 7 + (6 * 2 + 7b * 2) -17 + 2b = 7 + (12 + 14b) Combine like terms: 7 + 12 = 19 -17 + 2b = 19 + 14b Solving -17 + 2b = 19 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. -17 + 2b + -14b = 19 + 14b + -14b Combine like terms: 2b + -14b = -12b -17 + -12b = 19 + 14b + -14b Combine like terms: 14b + -14b = 0 -17 + -12b = 19 + 0 -17 + -12b = 19 Add '17' to each side of the equation. -17 + 17 + -12b = 19 + 17 Combine like terms: -17 + 17 = 0 0 + -12b = 19 + 17 -12b = 19 + 17 Combine like terms: 19 + 17 = 36 -12b = 36 Divide each side by '-12'. b = -3 Simplifying b = -3
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