1+5(4n-7)=4(7n-3)-30

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Solution for 1+5(4n-7)=4(7n-3)-30 equation:


Simplifying
1 + 5(4n + -7) = 4(7n + -3) + -30

Reorder the terms:
1 + 5(-7 + 4n) = 4(7n + -3) + -30
1 + (-7 * 5 + 4n * 5) = 4(7n + -3) + -30
1 + (-35 + 20n) = 4(7n + -3) + -30

Combine like terms: 1 + -35 = -34
-34 + 20n = 4(7n + -3) + -30

Reorder the terms:
-34 + 20n = 4(-3 + 7n) + -30
-34 + 20n = (-3 * 4 + 7n * 4) + -30
-34 + 20n = (-12 + 28n) + -30

Reorder the terms:
-34 + 20n = -12 + -30 + 28n

Combine like terms: -12 + -30 = -42
-34 + 20n = -42 + 28n

Solving
-34 + 20n = -42 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
-34 + 20n + -28n = -42 + 28n + -28n

Combine like terms: 20n + -28n = -8n
-34 + -8n = -42 + 28n + -28n

Combine like terms: 28n + -28n = 0
-34 + -8n = -42 + 0
-34 + -8n = -42

Add '34' to each side of the equation.
-34 + 34 + -8n = -42 + 34

Combine like terms: -34 + 34 = 0
0 + -8n = -42 + 34
-8n = -42 + 34

Combine like terms: -42 + 34 = -8
-8n = -8

Divide each side by '-8'.
n = 1

Simplifying
n = 1

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