3(2n+1)-2(h-4)=21

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Solution for 3(2n+1)-2(h-4)=21 equation: 


Simplifying
3(2n + 1) + -2(h + -4) = 21

Reorder the terms:
3(1 + 2n) + -2(h + -4) = 21
(1 * 3 + 2n * 3) + -2(h + -4) = 21
(3 + 6n) + -2(h + -4) = 21

Reorder the terms:
3 + 6n + -2(-4 + h) = 21
3 + 6n + (-4 * -2 + h * -2) = 21
3 + 6n + (8 + -2h) = 21

Reorder the terms:
3 + 8 + -2h + 6n = 21

Combine like terms: 3 + 8 = 11
11 + -2h + 6n = 21

Solving
11 + -2h + 6n = 21

Solving for variable 'h'.

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

Add '-11' to each side of the equation.
11 + -2h + -11 + 6n = 21 + -11

Reorder the terms:
11 + -11 + -2h + 6n = 21 + -11

Combine like terms: 11 + -11 = 0
0 + -2h + 6n = 21 + -11
-2h + 6n = 21 + -11

Combine like terms: 21 + -11 = 10
-2h + 6n = 10

Add '-6n' to each side of the equation.
-2h + 6n + -6n = 10 + -6n

Combine like terms: 6n + -6n = 0
-2h + 0 = 10 + -6n
-2h = 10 + -6n

Divide each side by '-2'.
h = -5 + 3n

Simplifying
h = -5 + 3n

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