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Simplifying -8b + 34 = -4(7b + 4) Reorder the terms: 34 + -8b = -4(7b + 4) Reorder the terms: 34 + -8b = -4(4 + 7b) 34 + -8b = (4 * -4 + 7b * -4) 34 + -8b = (-16 + -28b) Solving 34 + -8b = -16 + -28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28b' to each side of the equation. 34 + -8b + 28b = -16 + -28b + 28b Combine like terms: -8b + 28b = 20b 34 + 20b = -16 + -28b + 28b Combine like terms: -28b + 28b = 0 34 + 20b = -16 + 0 34 + 20b = -16 Add '-34' to each side of the equation. 34 + -34 + 20b = -16 + -34 Combine like terms: 34 + -34 = 0 0 + 20b = -16 + -34 20b = -16 + -34 Combine like terms: -16 + -34 = -50 20b = -50 Divide each side by '20'. b = -2.5 Simplifying b = -2.5
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