7(4n-3)-(2n+1)9=2(n-9)

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Solution for 7(4n-3)-(2n+1)9=2(n-9) equation:


Simplifying
7(4n + -3) + -1(2n + 1) * 9 = 2(n + -9)

Reorder the terms:
7(-3 + 4n) + -1(2n + 1) * 9 = 2(n + -9)
(-3 * 7 + 4n * 7) + -1(2n + 1) * 9 = 2(n + -9)
(-21 + 28n) + -1(2n + 1) * 9 = 2(n + -9)

Reorder the terms:
-21 + 28n + -1(1 + 2n) * 9 = 2(n + -9)

Reorder the terms for easier multiplication:
-21 + 28n + -1 * 9(1 + 2n) = 2(n + -9)

Multiply -1 * 9
-21 + 28n + -9(1 + 2n) = 2(n + -9)
-21 + 28n + (1 * -9 + 2n * -9) = 2(n + -9)
-21 + 28n + (-9 + -18n) = 2(n + -9)

Reorder the terms:
-21 + -9 + 28n + -18n = 2(n + -9)

Combine like terms: -21 + -9 = -30
-30 + 28n + -18n = 2(n + -9)

Combine like terms: 28n + -18n = 10n
-30 + 10n = 2(n + -9)

Reorder the terms:
-30 + 10n = 2(-9 + n)
-30 + 10n = (-9 * 2 + n * 2)
-30 + 10n = (-18 + 2n)

Solving
-30 + 10n = -18 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-30 + 10n + -2n = -18 + 2n + -2n

Combine like terms: 10n + -2n = 8n
-30 + 8n = -18 + 2n + -2n

Combine like terms: 2n + -2n = 0
-30 + 8n = -18 + 0
-30 + 8n = -18

Add '30' to each side of the equation.
-30 + 30 + 8n = -18 + 30

Combine like terms: -30 + 30 = 0
0 + 8n = -18 + 30
8n = -18 + 30

Combine like terms: -18 + 30 = 12
8n = 12

Divide each side by '8'.
n = 1.5

Simplifying
n = 1.5

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