7(2h+1)+4(2h-9)=3(3h+1)-1

Solution for 7(2h+1)+4(2h-9)=3(3h+1)-1 equation:

Simplifying
7(2h + 1) + 4(2h + -9) = 3(3h + 1) + -1

Reorder the terms:
7(1 + 2h) + 4(2h + -9) = 3(3h + 1) + -1
(1 * 7 + 2h * 7) + 4(2h + -9) = 3(3h + 1) + -1
(7 + 14h) + 4(2h + -9) = 3(3h + 1) + -1

Reorder the terms:
7 + 14h + 4(-9 + 2h) = 3(3h + 1) + -1
7 + 14h + (-9 * 4 + 2h * 4) = 3(3h + 1) + -1
7 + 14h + (-36 + 8h) = 3(3h + 1) + -1

Reorder the terms:
7 + -36 + 14h + 8h = 3(3h + 1) + -1

Combine like terms: 7 + -36 = -29
-29 + 14h + 8h = 3(3h + 1) + -1

Combine like terms: 14h + 8h = 22h
-29 + 22h = 3(3h + 1) + -1

Reorder the terms:
-29 + 22h = 3(1 + 3h) + -1
-29 + 22h = (1 * 3 + 3h * 3) + -1
-29 + 22h = (3 + 9h) + -1

Reorder the terms:
-29 + 22h = 3 + -1 + 9h

Combine like terms: 3 + -1 = 2
-29 + 22h = 2 + 9h

Solving
-29 + 22h = 2 + 9h

Solving for variable 'h'.

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

Add '-9h' to each side of the equation.
-29 + 22h + -9h = 2 + 9h + -9h

Combine like terms: 22h + -9h = 13h
-29 + 13h = 2 + 9h + -9h

Combine like terms: 9h + -9h = 0
-29 + 13h = 2 + 0
-29 + 13h = 2

Add '29' to each side of the equation.
-29 + 29 + 13h = 2 + 29

Combine like terms: -29 + 29 = 0
0 + 13h = 2 + 29
13h = 2 + 29

Combine like terms: 2 + 29 = 31
13h = 31

Divide each side by '13'.
h = 2.384615385

Simplifying
h = 2.384615385