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Solve for h. Give an exact answer. {:[1.5(2-4h)=6h],[h=]:}

Solve for h h .\newlineGive an exact answer.\newline1.5(2−4h)=6h 1.5(2-4 h)=6 h \newlineh= h=

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Full solution

Q. Solve for h h .\newlineGive an exact answer.\newline1.5(2−4h)=6h 1.5(2-4 h)=6 h \newlineh= h=
  1. Simplify expression using distributive property: Simplify 1.5(2−4h)1.5(2 - 4h) by using the distributive property.\newline1.5(2−4h)1.5(2 - 4h) \newline= 1.5×2−1.5×4h1.5 \times 2 - 1.5 \times 4h\newline= 3−6h3 - 6h
  2. Set up the equation: Set up the equation from the given system. 3−6h=6h3 - 6h = 6h
  3. Combine like terms: Combine like terms by adding 6h6h to both sides of the equation.\newline3−6h+6h=6h+6h3 - 6h + 6h = 6h + 6h\newline3=12h3 = 12h
  4. Divide both sides to solve for h: Divide both sides by 1212 to solve for h.\newline\frac{33}{1212} = \frac{1212h}{1212}\newline\frac{11}{44} = h

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