16-.5(10n+8)=-6n-13

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Solution for 16-.5(10n+8)=-6n-13 equation:


Simplifying
16 + -0.5(10n + 8) = -6n + -13

Reorder the terms:
16 + -0.5(8 + 10n) = -6n + -13
16 + (8 * -0.5 + 10n * -0.5) = -6n + -13
16 + (-4 + -5n) = -6n + -13

Combine like terms: 16 + -4 = 12
12 + -5n = -6n + -13

Reorder the terms:
12 + -5n = -13 + -6n

Solving
12 + -5n = -13 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
12 + -5n + 6n = -13 + -6n + 6n

Combine like terms: -5n + 6n = 1n
12 + 1n = -13 + -6n + 6n

Combine like terms: -6n + 6n = 0
12 + 1n = -13 + 0
12 + 1n = -13

Add '-12' to each side of the equation.
12 + -12 + 1n = -13 + -12

Combine like terms: 12 + -12 = 0
0 + 1n = -13 + -12
1n = -13 + -12

Combine like terms: -13 + -12 = -25
1n = -25

Divide each side by '1'.
n = -25

Simplifying
n = -25

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