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Simplifying 500 = 538cos(b + -10) Reorder the terms: 500 = 538cos(-10 + b) 500 = (-10 * 538cos + b * 538cos) Reorder the terms: 500 = (538bcos + -5380cos) 500 = (538bcos + -5380cos) Solving 500 = 538bcos + -5380cos Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-538bcos' to each side of the equation. 500 + -538bcos = 538bcos + -538bcos + -5380cos Combine like terms: 538bcos + -538bcos = 0 500 + -538bcos = 0 + -5380cos 500 + -538bcos = -5380cos Add '-500' to each side of the equation. 500 + -500 + -538bcos = -500 + -5380cos Combine like terms: 500 + -500 = 0 0 + -538bcos = -500 + -5380cos -538bcos = -500 + -5380cos Divide each side by '-538cos'. b = 0.9293680297c-1o-1s-1 + 10 Simplifying b = 0.9293680297c-1o-1s-1 + 10 Reorder the terms: b = 10 + 0.9293680297c-1o-1s-1
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