(-3*5)+(n*7)=-3*(n+7)

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Solution for (-3*5)+(n*7)=-3*(n+7) equation:


Simplifying
(-3 * 5) + (n * 7) = -3(n + 7)

Multiply -3 * 5
(-15) + (n * 7) = -3(n + 7)
-15 + (n * 7) = -3(n + 7)

Reorder the terms for easier multiplication:
-15 + (7n) = -3(n + 7)

Reorder the terms:
-15 + (7n) = -3(7 + n)
-15 + (7n) = (7 * -3 + n * -3)
-15 + (7n) = (-21 + -3n)

Solving
-15 + (7n) = -21 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-15 + (7n) + 3n = -21 + -3n + 3n

Combine like terms: (7n) + 3n = 10n
-15 + 10n = -21 + -3n + 3n

Combine like terms: -3n + 3n = 0
-15 + 10n = -21 + 0
-15 + 10n = -21

Add '15' to each side of the equation.
-15 + 15 + 10n = -21 + 15

Combine like terms: -15 + 15 = 0
0 + 10n = -21 + 15
10n = -21 + 15

Combine like terms: -21 + 15 = -6
10n = -6

Divide each side by '10'.
n = -0.6

Simplifying
n = -0.6

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