2(9-1)+7(n+6)=35

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Solution for 2(9-1)+7(n+6)=35 equation:


Simplifying
2(9 + -1) + 7(n + 6) = 35

Combine like terms: 9 + -1 = 8
2(8) + 7(n + 6) = 35

Multiply 2 * 8
16 + 7(n + 6) = 35

Reorder the terms:
16 + 7(6 + n) = 35
16 + (6 * 7 + n * 7) = 35
16 + (42 + 7n) = 35

Combine like terms: 16 + 42 = 58
58 + 7n = 35

Solving
58 + 7n = 35

Solving for variable 'n'.

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

Add '-58' to each side of the equation.
58 + -58 + 7n = 35 + -58

Combine like terms: 58 + -58 = 0
0 + 7n = 35 + -58
7n = 35 + -58

Combine like terms: 35 + -58 = -23
7n = -23

Divide each side by '7'.
n = -3.285714286

Simplifying
n = -3.285714286

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