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Simplifying -7(2 + 3b) + -7 = -34 + -8b (2 * -7 + 3b * -7) + -7 = -34 + -8b (-14 + -21b) + -7 = -34 + -8b Reorder the terms: -14 + -7 + -21b = -34 + -8b Combine like terms: -14 + -7 = -21 -21 + -21b = -34 + -8b Solving -21 + -21b = -34 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -21 + -21b + 8b = -34 + -8b + 8b Combine like terms: -21b + 8b = -13b -21 + -13b = -34 + -8b + 8b Combine like terms: -8b + 8b = 0 -21 + -13b = -34 + 0 -21 + -13b = -34 Add '21' to each side of the equation. -21 + 21 + -13b = -34 + 21 Combine like terms: -21 + 21 = 0 0 + -13b = -34 + 21 -13b = -34 + 21 Combine like terms: -34 + 21 = -13 -13b = -13 Divide each side by '-13'. b = 1 Simplifying b = 1
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