-7(9n+3)=-8(4n-9)

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Solution for -7(9n+3)=-8(4n-9) equation:


Simplifying
-7(9n + 3) = -8(4n + -9)

Reorder the terms:
-7(3 + 9n) = -8(4n + -9)
(3 * -7 + 9n * -7) = -8(4n + -9)
(-21 + -63n) = -8(4n + -9)

Reorder the terms:
-21 + -63n = -8(-9 + 4n)
-21 + -63n = (-9 * -8 + 4n * -8)
-21 + -63n = (72 + -32n)

Solving
-21 + -63n = 72 + -32n

Solving for variable 'n'.

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

Add '32n' to each side of the equation.
-21 + -63n + 32n = 72 + -32n + 32n

Combine like terms: -63n + 32n = -31n
-21 + -31n = 72 + -32n + 32n

Combine like terms: -32n + 32n = 0
-21 + -31n = 72 + 0
-21 + -31n = 72

Add '21' to each side of the equation.
-21 + 21 + -31n = 72 + 21

Combine like terms: -21 + 21 = 0
0 + -31n = 72 + 21
-31n = 72 + 21

Combine like terms: 72 + 21 = 93
-31n = 93

Divide each side by '-31'.
n = -3

Simplifying
n = -3

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