6-7(1h+1)=-3(2-1h)

Solution for 6-7(1h+1)=-3(2-1h) equation:

Simplifying
6 + -7(1h + 1) = -3(2 + -1h)

Reorder the terms:
6 + -7(1 + 1h) = -3(2 + -1h)
6 + (1 * -7 + 1h * -7) = -3(2 + -1h)
6 + (-7 + -7h) = -3(2 + -1h)

Combine like terms: 6 + -7 = -1
-1 + -7h = -3(2 + -1h)
-1 + -7h = (2 * -3 + -1h * -3)
-1 + -7h = (-6 + 3h)

Solving
-1 + -7h = -6 + 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.
-1 + -7h + -3h = -6 + 3h + -3h

Combine like terms: -7h + -3h = -10h
-1 + -10h = -6 + 3h + -3h

Combine like terms: 3h + -3h = 0
-1 + -10h = -6 + 0
-1 + -10h = -6

Add '1' to each side of the equation.
-1 + 1 + -10h = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -10h = -6 + 1
-10h = -6 + 1

Combine like terms: -6 + 1 = -5
-10h = -5

Divide each side by '-10'.
h = 0.5

Simplifying
h = 0.5