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Simplifying 13(45x + -34b) + -1(13x + -23) = 0 Reorder the terms: 13(-34b + 45x) + -1(13x + -23) = 0 (-34b * 13 + 45x * 13) + -1(13x + -23) = 0 (-442b + 585x) + -1(13x + -23) = 0 Reorder the terms: -442b + 585x + -1(-23 + 13x) = 0 -442b + 585x + (-23 * -1 + 13x * -1) = 0 -442b + 585x + (23 + -13x) = 0 Reorder the terms: 23 + -442b + 585x + -13x = 0 Combine like terms: 585x + -13x = 572x 23 + -442b + 572x = 0 Solving 23 + -442b + 572x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -442b + -23 + 572x = 0 + -23 Reorder the terms: 23 + -23 + -442b + 572x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -442b + 572x = 0 + -23 -442b + 572x = 0 + -23 Combine like terms: 0 + -23 = -23 -442b + 572x = -23 Add '-572x' to each side of the equation. -442b + 572x + -572x = -23 + -572x Combine like terms: 572x + -572x = 0 -442b + 0 = -23 + -572x -442b = -23 + -572x Divide each side by '-442'. b = 0.0520361991 + 1.294117647x Simplifying b = 0.0520361991 + 1.294117647x
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