14(4n+6)=-7(7n+19)

Simple and best practice solution for 14(4n+6)=-7(7n+19) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 14(4n+6)=-7(7n+19) equation: 


Simplifying
14(4n + 6) = -7(7n + 19)

Reorder the terms:
14(6 + 4n) = -7(7n + 19)
(6 * 14 + 4n * 14) = -7(7n + 19)
(84 + 56n) = -7(7n + 19)

Reorder the terms:
84 + 56n = -7(19 + 7n)
84 + 56n = (19 * -7 + 7n * -7)
84 + 56n = (-133 + -49n)

Solving
84 + 56n = -133 + -49n

Solving for variable 'n'.

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

Add '49n' to each side of the equation.
84 + 56n + 49n = -133 + -49n + 49n

Combine like terms: 56n + 49n = 105n
84 + 105n = -133 + -49n + 49n

Combine like terms: -49n + 49n = 0
84 + 105n = -133 + 0
84 + 105n = -133

Add '-84' to each side of the equation.
84 + -84 + 105n = -133 + -84

Combine like terms: 84 + -84 = 0
0 + 105n = -133 + -84
105n = -133 + -84

Combine like terms: -133 + -84 = -217
105n = -217

Divide each side by '105'.
n = -2.066666667

Simplifying
n = -2.066666667

See similar equations:

| -10x=-9 | | -4=-2n+6n | | -5=4r+r | | 26.54-p=0.5(50-p) | | 4(-2+6x)=-6-(2-8x) | | -9(10x+10)=9(-1-11x) | | 6x+10=100-4x | | X+6(x+4)=7x-22 | | 7r=-56 | | 7k-18=-6(2-k) | | 4(5-y)=8(3-y) | | -4n=-24 | | x-4x=0 | | -10=-5n-4+6n | | -3=-p+2p | | 1+3x=17+x | | -11=-6+2b+3b | | -9+5m=-39 | | 4b^2-53=11 | | .5(6x+18)=3(x+3) | | 4(2x-3)=44 | | 4x+8=-32 | | 11x+7=10x-8 | | -8(y+9)=-40 | | 8x-4=6x+2 | | -2(x+6)=0.5x-14 | | 7p-3=.75(8p-12) | | -4(m+3)=24 | | 6(x-2)=-18 | | .2(15n+5)=8n-9 | | 3(w-6)=2(2w+8) | | 3x+68=8x+13 |

Equations solver categories