4-(h+6)=5h-2(3-h)

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Solution for 4-(h+6)=5h-2(3-h) equation:


Simplifying
4 + -1(h + 6) = 5h + -2(3 + -1h)

Reorder the terms:
4 + -1(6 + h) = 5h + -2(3 + -1h)
4 + (6 * -1 + h * -1) = 5h + -2(3 + -1h)
4 + (-6 + -1h) = 5h + -2(3 + -1h)

Combine like terms: 4 + -6 = -2
-2 + -1h = 5h + -2(3 + -1h)
-2 + -1h = 5h + (3 * -2 + -1h * -2)
-2 + -1h = 5h + (-6 + 2h)

Reorder the terms:
-2 + -1h = -6 + 5h + 2h

Combine like terms: 5h + 2h = 7h
-2 + -1h = -6 + 7h

Solving
-2 + -1h = -6 + 7h

Solving for variable 'h'.

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

Add '-7h' to each side of the equation.
-2 + -1h + -7h = -6 + 7h + -7h

Combine like terms: -1h + -7h = -8h
-2 + -8h = -6 + 7h + -7h

Combine like terms: 7h + -7h = 0
-2 + -8h = -6 + 0
-2 + -8h = -6

Add '2' to each side of the equation.
-2 + 2 + -8h = -6 + 2

Combine like terms: -2 + 2 = 0
0 + -8h = -6 + 2
-8h = -6 + 2

Combine like terms: -6 + 2 = -4
-8h = -4

Divide each side by '-8'.
h = 0.5

Simplifying
h = 0.5

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