[7(n+5)-18]+[3(n-3)+5]=

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Solution for [7(n+5)-18]+[3(n-3)+5]= equation:


Simplifying
[7(n + 5) + -18] + [3(n + -3) + 5] = 0

Reorder the terms:
[7(5 + n) + -18] + [3(n + -3) + 5] = 0
[(5 * 7 + n * 7) + -18] + [3(n + -3) + 5] = 0
[(35 + 7n) + -18] + [3(n + -3) + 5] = 0

Reorder the terms:
[35 + -18 + 7n] + [3(n + -3) + 5] = 0

Combine like terms: 35 + -18 = 17
[17 + 7n] + [3(n + -3) + 5] = 0

Remove brackets around [17 + 7n]
17 + 7n + [3(n + -3) + 5] = 0

Reorder the terms:
17 + 7n + [3(-3 + n) + 5] = 0
17 + 7n + [(-3 * 3 + n * 3) + 5] = 0
17 + 7n + [(-9 + 3n) + 5] = 0

Reorder the terms:
17 + 7n + [-9 + 5 + 3n] = 0

Combine like terms: -9 + 5 = -4
17 + 7n + [-4 + 3n] = 0

Remove brackets around [-4 + 3n]
17 + 7n + -4 + 3n = 0

Reorder the terms:
17 + -4 + 7n + 3n = 0

Combine like terms: 17 + -4 = 13
13 + 7n + 3n = 0

Combine like terms: 7n + 3n = 10n
13 + 10n = 0

Solving
13 + 10n = 0

Solving for variable 'n'.

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

Add '-13' to each side of the equation.
13 + -13 + 10n = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 10n = 0 + -13
10n = 0 + -13

Combine like terms: 0 + -13 = -13
10n = -13

Divide each side by '10'.
n = -1.3

Simplifying
n = -1.3

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