-7(5n+9)=11(n+3)-8n

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Solution for -7(5n+9)=11(n+3)-8n equation:


Simplifying
-7(5n + 9) = 11(n + 3) + -8n

Reorder the terms:
-7(9 + 5n) = 11(n + 3) + -8n
(9 * -7 + 5n * -7) = 11(n + 3) + -8n
(-63 + -35n) = 11(n + 3) + -8n

Reorder the terms:
-63 + -35n = 11(3 + n) + -8n
-63 + -35n = (3 * 11 + n * 11) + -8n
-63 + -35n = (33 + 11n) + -8n

Combine like terms: 11n + -8n = 3n
-63 + -35n = 33 + 3n

Solving
-63 + -35n = 33 + 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.
-63 + -35n + -3n = 33 + 3n + -3n

Combine like terms: -35n + -3n = -38n
-63 + -38n = 33 + 3n + -3n

Combine like terms: 3n + -3n = 0
-63 + -38n = 33 + 0
-63 + -38n = 33

Add '63' to each side of the equation.
-63 + 63 + -38n = 33 + 63

Combine like terms: -63 + 63 = 0
0 + -38n = 33 + 63
-38n = 33 + 63

Combine like terms: 33 + 63 = 96
-38n = 96

Divide each side by '-38'.
n = -2.526315789

Simplifying
n = -2.526315789

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