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

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


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

Combine like terms: 4 + -7 = -3
5(-3) + 1 = 4(7n + -3) + -30

Multiply 5 * -3
-15 + 1 = 4(7n + -3) + -30

Combine like terms: -15 + 1 = -14
-14 = 4(7n + -3) + -30

Reorder the terms:
-14 = 4(-3 + 7n) + -30
-14 = (-3 * 4 + 7n * 4) + -30
-14 = (-12 + 28n) + -30

Reorder the terms:
-14 = -12 + -30 + 28n

Combine like terms: -12 + -30 = -42
-14 = -42 + 28n

Solving
-14 = -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.
-14 + -28n = -42 + 28n + -28n

Combine like terms: 28n + -28n = 0
-14 + -28n = -42 + 0
-14 + -28n = -42

Add '14' to each side of the equation.
-14 + 14 + -28n = -42 + 14

Combine like terms: -14 + 14 = 0
0 + -28n = -42 + 14
-28n = -42 + 14

Combine like terms: -42 + 14 = -28
-28n = -28

Divide each side by '-28'.
n = 1

Simplifying
n = 1

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