-6(6n-7)+7(n+4)=-46

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Solution for -6(6n-7)+7(n+4)=-46 equation:


Simplifying
-6(6n + -7) + 7(n + 4) = -46

Reorder the terms:
-6(-7 + 6n) + 7(n + 4) = -46
(-7 * -6 + 6n * -6) + 7(n + 4) = -46
(42 + -36n) + 7(n + 4) = -46

Reorder the terms:
42 + -36n + 7(4 + n) = -46
42 + -36n + (4 * 7 + n * 7) = -46
42 + -36n + (28 + 7n) = -46

Reorder the terms:
42 + 28 + -36n + 7n = -46

Combine like terms: 42 + 28 = 70
70 + -36n + 7n = -46

Combine like terms: -36n + 7n = -29n
70 + -29n = -46

Solving
70 + -29n = -46

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 + -29n = -46 + -70

Combine like terms: 70 + -70 = 0
0 + -29n = -46 + -70
-29n = -46 + -70

Combine like terms: -46 + -70 = -116
-29n = -116

Divide each side by '-29'.
n = 4

Simplifying
n = 4

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