5h+10-(3h-4)=4h+28

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Solution for 5h+10-(3h-4)=4h+28 equation:


Simplifying
5h + 10 + -1(3h + -4) = 4h + 28

Reorder the terms:
5h + 10 + -1(-4 + 3h) = 4h + 28
5h + 10 + (-4 * -1 + 3h * -1) = 4h + 28
5h + 10 + (4 + -3h) = 4h + 28

Reorder the terms:
10 + 4 + 5h + -3h = 4h + 28

Combine like terms: 10 + 4 = 14
14 + 5h + -3h = 4h + 28

Combine like terms: 5h + -3h = 2h
14 + 2h = 4h + 28

Reorder the terms:
14 + 2h = 28 + 4h

Solving
14 + 2h = 28 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
14 + 2h + -4h = 28 + 4h + -4h

Combine like terms: 2h + -4h = -2h
14 + -2h = 28 + 4h + -4h

Combine like terms: 4h + -4h = 0
14 + -2h = 28 + 0
14 + -2h = 28

Add '-14' to each side of the equation.
14 + -14 + -2h = 28 + -14

Combine like terms: 14 + -14 = 0
0 + -2h = 28 + -14
-2h = 28 + -14

Combine like terms: 28 + -14 = 14
-2h = 14

Divide each side by '-2'.
h = -7

Simplifying
h = -7

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