0.7(n+19)=-2.8(n-1)

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Solution for 0.7(n+19)=-2.8(n-1) equation: 


Simplifying
0.7(n + 19) = -2.8(n + -1)

Reorder the terms:
0.7(19 + n) = -2.8(n + -1)
(19 * 0.7 + n * 0.7) = -2.8(n + -1)
(13.3 + 0.7n) = -2.8(n + -1)

Reorder the terms:
13.3 + 0.7n = -2.8(-1 + n)
13.3 + 0.7n = (-1 * -2.8 + n * -2.8)
13.3 + 0.7n = (2.8 + -2.8n)

Solving
13.3 + 0.7n = 2.8 + -2.8n

Solving for variable 'n'.

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

Add '2.8n' to each side of the equation.
13.3 + 0.7n + 2.8n = 2.8 + -2.8n + 2.8n

Combine like terms: 0.7n + 2.8n = 3.5n
13.3 + 3.5n = 2.8 + -2.8n + 2.8n

Combine like terms: -2.8n + 2.8n = 0.0
13.3 + 3.5n = 2.8 + 0.0
13.3 + 3.5n = 2.8

Add '-13.3' to each side of the equation.
13.3 + -13.3 + 3.5n = 2.8 + -13.3

Combine like terms: 13.3 + -13.3 = 0.0
0.0 + 3.5n = 2.8 + -13.3
3.5n = 2.8 + -13.3

Combine like terms: 2.8 + -13.3 = -10.5
3.5n = -10.5

Divide each side by '3.5'.
n = -3

Simplifying
n = -3

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