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Simplifying -1(5 + -2b) = 15b + 34 (5 * -1 + -2b * -1) = 15b + 34 (-5 + 2b) = 15b + 34 Reorder the terms: -5 + 2b = 34 + 15b Solving -5 + 2b = 34 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. -5 + 2b + -15b = 34 + 15b + -15b Combine like terms: 2b + -15b = -13b -5 + -13b = 34 + 15b + -15b Combine like terms: 15b + -15b = 0 -5 + -13b = 34 + 0 -5 + -13b = 34 Add '5' to each side of the equation. -5 + 5 + -13b = 34 + 5 Combine like terms: -5 + 5 = 0 0 + -13b = 34 + 5 -13b = 34 + 5 Combine like terms: 34 + 5 = 39 -13b = 39 Divide each side by '-13'. b = -3 Simplifying b = -3
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