14(15-7n)=-22-4(22+27n)

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Solution for 14(15-7n)=-22-4(22+27n) equation: 


Simplifying
14(15 + -7n) = -22 + -4(22 + 27n)
(15 * 14 + -7n * 14) = -22 + -4(22 + 27n)
(210 + -98n) = -22 + -4(22 + 27n)
210 + -98n = -22 + (22 * -4 + 27n * -4)
210 + -98n = -22 + (-88 + -108n)

Combine like terms: -22 + -88 = -110
210 + -98n = -110 + -108n

Solving
210 + -98n = -110 + -108n

Solving for variable 'n'.

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

Add '108n' to each side of the equation.
210 + -98n + 108n = -110 + -108n + 108n

Combine like terms: -98n + 108n = 10n
210 + 10n = -110 + -108n + 108n

Combine like terms: -108n + 108n = 0
210 + 10n = -110 + 0
210 + 10n = -110

Add '-210' to each side of the equation.
210 + -210 + 10n = -110 + -210

Combine like terms: 210 + -210 = 0
0 + 10n = -110 + -210
10n = -110 + -210

Combine like terms: -110 + -210 = -320
10n = -320

Divide each side by '10'.
n = -32

Simplifying
n = -32

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