38=-7(n-4)-(6n+3)

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Solution for 38=-7(n-4)-(6n+3) equation:


Simplifying
38 = -7(n + -4) + -1(6n + 3)

Reorder the terms:
38 = -7(-4 + n) + -1(6n + 3)
38 = (-4 * -7 + n * -7) + -1(6n + 3)
38 = (28 + -7n) + -1(6n + 3)

Reorder the terms:
38 = 28 + -7n + -1(3 + 6n)
38 = 28 + -7n + (3 * -1 + 6n * -1)
38 = 28 + -7n + (-3 + -6n)

Reorder the terms:
38 = 28 + -3 + -7n + -6n

Combine like terms: 28 + -3 = 25
38 = 25 + -7n + -6n

Combine like terms: -7n + -6n = -13n
38 = 25 + -13n

Solving
38 = 25 + -13n

Solving for variable 'n'.

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

Add '13n' to each side of the equation.
38 + 13n = 25 + -13n + 13n

Combine like terms: -13n + 13n = 0
38 + 13n = 25 + 0
38 + 13n = 25

Add '-38' to each side of the equation.
38 + -38 + 13n = 25 + -38

Combine like terms: 38 + -38 = 0
0 + 13n = 25 + -38
13n = 25 + -38

Combine like terms: 25 + -38 = -13
13n = -13

Divide each side by '13'.
n = -1

Simplifying
n = -1

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