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\left(h+4\right)\times 4=1
Variable h cannot be equal to any of the values -4,-2 since division by zero is not defined. Multiply both sides of the equation by \left(h+2\right)\left(h+4\right), the least common multiple of h+2,h^{2}+6h+8.
4h+16=1
Use the distributive property to multiply h+4 by 4.
4h=1-16
Subtract 16 from both sides.
4h=-15
Subtract 16 from 1 to get -15.
h=\frac{-15}{4}
Divide both sides by 4.
h=-\frac{15}{4}
Fraction \frac{-15}{4} can be rewritten as -\frac{15}{4} by extracting the negative sign.