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Simplifying -5(b + 8) + 4 = 34 + 5b Reorder the terms: -5(8 + b) + 4 = 34 + 5b (8 * -5 + b * -5) + 4 = 34 + 5b (-40 + -5b) + 4 = 34 + 5b Reorder the terms: -40 + 4 + -5b = 34 + 5b Combine like terms: -40 + 4 = -36 -36 + -5b = 34 + 5b Solving -36 + -5b = 34 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -36 + -5b + -5b = 34 + 5b + -5b Combine like terms: -5b + -5b = -10b -36 + -10b = 34 + 5b + -5b Combine like terms: 5b + -5b = 0 -36 + -10b = 34 + 0 -36 + -10b = 34 Add '36' to each side of the equation. -36 + 36 + -10b = 34 + 36 Combine like terms: -36 + 36 = 0 0 + -10b = 34 + 36 -10b = 34 + 36 Combine like terms: 34 + 36 = 70 -10b = 70 Divide each side by '-10'. b = -7 Simplifying b = -7
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