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Simplifying -34 + 6b = -4(9b + 7) Reorder the terms: -34 + 6b = -4(7 + 9b) -34 + 6b = (7 * -4 + 9b * -4) -34 + 6b = (-28 + -36b) Solving -34 + 6b = -28 + -36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36b' to each side of the equation. -34 + 6b + 36b = -28 + -36b + 36b Combine like terms: 6b + 36b = 42b -34 + 42b = -28 + -36b + 36b Combine like terms: -36b + 36b = 0 -34 + 42b = -28 + 0 -34 + 42b = -28 Add '34' to each side of the equation. -34 + 34 + 42b = -28 + 34 Combine like terms: -34 + 34 = 0 0 + 42b = -28 + 34 42b = -28 + 34 Combine like terms: -28 + 34 = 6 42b = 6 Divide each side by '42'. b = 0.1428571429 Simplifying b = 0.1428571429
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