17h-9(h+4)=3h-26

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Solution for 17h-9(h+4)=3h-26 equation:


Simplifying
17h + -9(h + 4) = 3h + -26

Reorder the terms:
17h + -9(4 + h) = 3h + -26
17h + (4 * -9 + h * -9) = 3h + -26
17h + (-36 + -9h) = 3h + -26

Reorder the terms:
-36 + 17h + -9h = 3h + -26

Combine like terms: 17h + -9h = 8h
-36 + 8h = 3h + -26

Reorder the terms:
-36 + 8h = -26 + 3h

Solving
-36 + 8h = -26 + 3h

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-3h' to each side of the equation.
-36 + 8h + -3h = -26 + 3h + -3h

Combine like terms: 8h + -3h = 5h
-36 + 5h = -26 + 3h + -3h

Combine like terms: 3h + -3h = 0
-36 + 5h = -26 + 0
-36 + 5h = -26

Add '36' to each side of the equation.
-36 + 36 + 5h = -26 + 36

Combine like terms: -36 + 36 = 0
0 + 5h = -26 + 36
5h = -26 + 36

Combine like terms: -26 + 36 = 10
5h = 10

Divide each side by '5'.
h = 2

Simplifying
h = 2

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