7(-4-7n)-7(6+3n)=70

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Solution for 7(-4-7n)-7(6+3n)=70 equation: 


Simplifying
7(-4 + -7n) + -7(6 + 3n) = 70
(-4 * 7 + -7n * 7) + -7(6 + 3n) = 70
(-28 + -49n) + -7(6 + 3n) = 70
-28 + -49n + (6 * -7 + 3n * -7) = 70
-28 + -49n + (-42 + -21n) = 70

Reorder the terms:
-28 + -42 + -49n + -21n = 70

Combine like terms: -28 + -42 = -70
-70 + -49n + -21n = 70

Combine like terms: -49n + -21n = -70n
-70 + -70n = 70

Solving
-70 + -70n = 70

Solving for variable 'n'.

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

Add '70' to each side of the equation.
-70 + 70 + -70n = 70 + 70

Combine like terms: -70 + 70 = 0
0 + -70n = 70 + 70
-70n = 70 + 70

Combine like terms: 70 + 70 = 140
-70n = 140

Divide each side by '-70'.
n = -2

Simplifying
n = -2

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