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Simplifying 34 = -9 + 7(b + -2) Reorder the terms: 34 = -9 + 7(-2 + b) 34 = -9 + (-2 * 7 + b * 7) 34 = -9 + (-14 + 7b) Combine like terms: -9 + -14 = -23 34 = -23 + 7b Solving 34 = -23 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 34 + -7b = -23 + 7b + -7b Combine like terms: 7b + -7b = 0 34 + -7b = -23 + 0 34 + -7b = -23 Add '-34' to each side of the equation. 34 + -34 + -7b = -23 + -34 Combine like terms: 34 + -34 = 0 0 + -7b = -23 + -34 -7b = -23 + -34 Combine like terms: -23 + -34 = -57 -7b = -57 Divide each side by '-7'. b = 8.142857143 Simplifying b = 8.142857143
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