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Simplifying 7(2 + -3b) + 4 = -34 + -8b (2 * 7 + -3b * 7) + 4 = -34 + -8b (14 + -21b) + 4 = -34 + -8b Reorder the terms: 14 + 4 + -21b = -34 + -8b Combine like terms: 14 + 4 = 18 18 + -21b = -34 + -8b Solving 18 + -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. 18 + -21b + 8b = -34 + -8b + 8b Combine like terms: -21b + 8b = -13b 18 + -13b = -34 + -8b + 8b Combine like terms: -8b + 8b = 0 18 + -13b = -34 + 0 18 + -13b = -34 Add '-18' to each side of the equation. 18 + -18 + -13b = -34 + -18 Combine like terms: 18 + -18 = 0 0 + -13b = -34 + -18 -13b = -34 + -18 Combine like terms: -34 + -18 = -52 -13b = -52 Divide each side by '-13'. b = 4 Simplifying b = 4
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