3+5h-9=4[3h+4]-1

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Solution for 3+5h-9=4[3h+4]-1 equation:


Simplifying
3 + 5h + -9 = 4[3h + 4] + -1

Reorder the terms:
3 + -9 + 5h = 4[3h + 4] + -1

Combine like terms: 3 + -9 = -6
-6 + 5h = 4[3h + 4] + -1

Reorder the terms:
-6 + 5h = 4[4 + 3h] + -1
-6 + 5h = [4 * 4 + 3h * 4] + -1
-6 + 5h = [16 + 12h] + -1

Reorder the terms:
-6 + 5h = 16 + -1 + 12h

Combine like terms: 16 + -1 = 15
-6 + 5h = 15 + 12h

Solving
-6 + 5h = 15 + 12h

Solving for variable 'h'.

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

Add '-12h' to each side of the equation.
-6 + 5h + -12h = 15 + 12h + -12h

Combine like terms: 5h + -12h = -7h
-6 + -7h = 15 + 12h + -12h

Combine like terms: 12h + -12h = 0
-6 + -7h = 15 + 0
-6 + -7h = 15

Add '6' to each side of the equation.
-6 + 6 + -7h = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -7h = 15 + 6
-7h = 15 + 6

Combine like terms: 15 + 6 = 21
-7h = 21

Divide each side by '-7'.
h = -3

Simplifying
h = -3

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