3(4n+5)=-7n-3

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Solution for 3(4n+5)=-7n-3 equation:


Simplifying
3(4n + 5) = -7n + -3

Reorder the terms:
3(5 + 4n) = -7n + -3
(5 * 3 + 4n * 3) = -7n + -3
(15 + 12n) = -7n + -3

Reorder the terms:
15 + 12n = -3 + -7n

Solving
15 + 12n = -3 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
15 + 12n + 7n = -3 + -7n + 7n

Combine like terms: 12n + 7n = 19n
15 + 19n = -3 + -7n + 7n

Combine like terms: -7n + 7n = 0
15 + 19n = -3 + 0
15 + 19n = -3

Add '-15' to each side of the equation.
15 + -15 + 19n = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 19n = -3 + -15
19n = -3 + -15

Combine like terms: -3 + -15 = -18
19n = -18

Divide each side by '19'.
n = -0.9473684211

Simplifying
n = -0.9473684211

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