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Simplifying tan(x + 40) = 4tan(x + 10) Reorder the terms: ant(40 + x) = 4tan(x + 10) (40 * ant + x * ant) = 4tan(x + 10) (40ant + antx) = 4tan(x + 10) Reorder the terms: 40ant + antx = 4ant(10 + x) 40ant + antx = (10 * 4ant + x * 4ant) 40ant + antx = (40ant + 4antx) Add '-40ant' to each side of the equation. 40ant + -40ant + antx = 40ant + -40ant + 4antx Combine like terms: 40ant + -40ant = 0 0 + antx = 40ant + -40ant + 4antx antx = 40ant + -40ant + 4antx Combine like terms: 40ant + -40ant = 0 antx = 0 + 4antx antx = 4antx Solving antx = 4antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4antx' to each side of the equation. antx + -4antx = 4antx + -4antx Combine like terms: antx + -4antx = -3antx -3antx = 4antx + -4antx Combine like terms: 4antx + -4antx = 0 -3antx = 0 Divide each side by '-3'. antx = 0 Simplifying antx = 0 The solution to this equation could not be determined.
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