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Simplifying 8b + 34 = 7(2b + -2) Reorder the terms: 34 + 8b = 7(2b + -2) Reorder the terms: 34 + 8b = 7(-2 + 2b) 34 + 8b = (-2 * 7 + 2b * 7) 34 + 8b = (-14 + 14b) Solving 34 + 8b = -14 + 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. 34 + 8b + -14b = -14 + 14b + -14b Combine like terms: 8b + -14b = -6b 34 + -6b = -14 + 14b + -14b Combine like terms: 14b + -14b = 0 34 + -6b = -14 + 0 34 + -6b = -14 Add '-34' to each side of the equation. 34 + -34 + -6b = -14 + -34 Combine like terms: 34 + -34 = 0 0 + -6b = -14 + -34 -6b = -14 + -34 Combine like terms: -14 + -34 = -48 -6b = -48 Divide each side by '-6'. b = 8 Simplifying b = 8
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