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

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


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

Reorder the terms:
3(3 + 3n) = 7(5n + 5) * 7
(3 * 3 + 3n * 3) = 7(5n + 5) * 7
(9 + 9n) = 7(5n + 5) * 7

Reorder the terms:
9 + 9n = 7(5 + 5n) * 7

Reorder the terms for easier multiplication:
9 + 9n = 7 * 7(5 + 5n)

Multiply 7 * 7
9 + 9n = 49(5 + 5n)
9 + 9n = (5 * 49 + 5n * 49)
9 + 9n = (245 + 245n)

Solving
9 + 9n = 245 + 245n

Solving for variable 'n'.

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

Add '-245n' to each side of the equation.
9 + 9n + -245n = 245 + 245n + -245n

Combine like terms: 9n + -245n = -236n
9 + -236n = 245 + 245n + -245n

Combine like terms: 245n + -245n = 0
9 + -236n = 245 + 0
9 + -236n = 245

Add '-9' to each side of the equation.
9 + -9 + -236n = 245 + -9

Combine like terms: 9 + -9 = 0
0 + -236n = 245 + -9
-236n = 245 + -9

Combine like terms: 245 + -9 = 236
-236n = 236

Divide each side by '-236'.
n = -1

Simplifying
n = -1

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