4h-(3h-10)=2h-(8-5h)+(3h-18)

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Solution for 4h-(3h-10)=2h-(8-5h)+(3h-18) equation:


Simplifying
4h + -1(3h + -10) = 2h + -1(8 + -5h) + (3h + -18)

Reorder the terms:
4h + -1(-10 + 3h) = 2h + -1(8 + -5h) + (3h + -18)
4h + (-10 * -1 + 3h * -1) = 2h + -1(8 + -5h) + (3h + -18)
4h + (10 + -3h) = 2h + -1(8 + -5h) + (3h + -18)

Reorder the terms:
10 + 4h + -3h = 2h + -1(8 + -5h) + (3h + -18)

Combine like terms: 4h + -3h = 1h
10 + 1h = 2h + -1(8 + -5h) + (3h + -18)
10 + 1h = 2h + (8 * -1 + -5h * -1) + (3h + -18)
10 + 1h = 2h + (-8 + 5h) + (3h + -18)

Reorder the terms:
10 + 1h = 2h + -8 + 5h + (-18 + 3h)

Remove parenthesis around (-18 + 3h)
10 + 1h = 2h + -8 + 5h + -18 + 3h

Reorder the terms:
10 + 1h = -8 + -18 + 2h + 5h + 3h

Combine like terms: -8 + -18 = -26
10 + 1h = -26 + 2h + 5h + 3h

Combine like terms: 2h + 5h = 7h
10 + 1h = -26 + 7h + 3h

Combine like terms: 7h + 3h = 10h
10 + 1h = -26 + 10h

Solving
10 + 1h = -26 + 10h

Solving for variable 'h'.

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

Add '-10h' to each side of the equation.
10 + 1h + -10h = -26 + 10h + -10h

Combine like terms: 1h + -10h = -9h
10 + -9h = -26 + 10h + -10h

Combine like terms: 10h + -10h = 0
10 + -9h = -26 + 0
10 + -9h = -26

Add '-10' to each side of the equation.
10 + -10 + -9h = -26 + -10

Combine like terms: 10 + -10 = 0
0 + -9h = -26 + -10
-9h = -26 + -10

Combine like terms: -26 + -10 = -36
-9h = -36

Divide each side by '-9'.
h = 4

Simplifying
h = 4

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