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Simplifying 34 + -6b = 8(-7b + -2) Reorder the terms: 34 + -6b = 8(-2 + -7b) 34 + -6b = (-2 * 8 + -7b * 8) 34 + -6b = (-16 + -56b) Solving 34 + -6b = -16 + -56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '56b' to each side of the equation. 34 + -6b + 56b = -16 + -56b + 56b Combine like terms: -6b + 56b = 50b 34 + 50b = -16 + -56b + 56b Combine like terms: -56b + 56b = 0 34 + 50b = -16 + 0 34 + 50b = -16 Add '-34' to each side of the equation. 34 + -34 + 50b = -16 + -34 Combine like terms: 34 + -34 = 0 0 + 50b = -16 + -34 50b = -16 + -34 Combine like terms: -16 + -34 = -50 50b = -50 Divide each side by '50'. b = -1 Simplifying b = -1
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