Answer: [tex]h=8[/tex]
Step-by-step explanation:
To find the value of "h" you need to:
Remember the multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]
Distribute the positive sign that is outside the parentheses to eliminate the parentheses:
[tex]4h + 9 = 3 -h + 46[/tex]
Add like terms on the righ side of the equation:
[tex]4h + 9 = -h + 49[/tex]
Add h to both sides:
[tex]4h + 9+h = -h + 49+h[/tex]
[tex]5h + 9 =49[/tex]
Subtract 9 from both sides:
[tex]5h + 9-9=49-9[/tex]
[tex]5h =40[/tex]
Divide both sides by 5:
[tex]\frac{5h}{5}=\frac{40}{5}\\\\h=8[/tex]
