5n+34=-29(1-7n)

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Solution for 5n+34=-29(1-7n) equation:


Simplifying
5n + 34 = -29(1 + -7n)

Reorder the terms:
34 + 5n = -29(1 + -7n)
34 + 5n = (1 * -29 + -7n * -29)
34 + 5n = (-29 + 203n)

Solving
34 + 5n = -29 + 203n

Solving for variable 'n'.

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

Add '-203n' to each side of the equation.
34 + 5n + -203n = -29 + 203n + -203n

Combine like terms: 5n + -203n = -198n
34 + -198n = -29 + 203n + -203n

Combine like terms: 203n + -203n = 0
34 + -198n = -29 + 0
34 + -198n = -29

Add '-34' to each side of the equation.
34 + -34 + -198n = -29 + -34

Combine like terms: 34 + -34 = 0
0 + -198n = -29 + -34
-198n = -29 + -34

Combine like terms: -29 + -34 = -63
-198n = -63

Divide each side by '-198'.
n = 0.3181818182

Simplifying
n = 0.3181818182

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