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Simplifying -34 + 6b = -7(3b + 1) Reorder the terms: -34 + 6b = -7(1 + 3b) -34 + 6b = (1 * -7 + 3b * -7) -34 + 6b = (-7 + -21b) Solving -34 + 6b = -7 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. -34 + 6b + 21b = -7 + -21b + 21b Combine like terms: 6b + 21b = 27b -34 + 27b = -7 + -21b + 21b Combine like terms: -21b + 21b = 0 -34 + 27b = -7 + 0 -34 + 27b = -7 Add '34' to each side of the equation. -34 + 34 + 27b = -7 + 34 Combine like terms: -34 + 34 = 0 0 + 27b = -7 + 34 27b = -7 + 34 Combine like terms: -7 + 34 = 27 27b = 27 Divide each side by '27'. b = 1 Simplifying b = 1
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