26.2584+6.5n=-2-1.524(n-3.8)

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Solution for 26.2584+6.5n=-2-1.524(n-3.8) equation: 


Simplifying
26.2584 + 6.5n = -2 + -1.524(n + -3.8)

Reorder the terms:
26.2584 + 6.5n = -2 + -1.524(-3.8 + n)
26.2584 + 6.5n = -2 + (-3.8 * -1.524 + n * -1.524)
26.2584 + 6.5n = -2 + (5.7912 + -1.524n)

Combine like terms: -2 + 5.7912 = 3.7912
26.2584 + 6.5n = 3.7912 + -1.524n

Solving
26.2584 + 6.5n = 3.7912 + -1.524n

Solving for variable 'n'.

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

Add '1.524n' to each side of the equation.
26.2584 + 6.5n + 1.524n = 3.7912 + -1.524n + 1.524n

Combine like terms: 6.5n + 1.524n = 8.024n
26.2584 + 8.024n = 3.7912 + -1.524n + 1.524n

Combine like terms: -1.524n + 1.524n = 0.000
26.2584 + 8.024n = 3.7912 + 0.000
26.2584 + 8.024n = 3.7912

Add '-26.2584' to each side of the equation.
26.2584 + -26.2584 + 8.024n = 3.7912 + -26.2584

Combine like terms: 26.2584 + -26.2584 = 0.0000
0.0000 + 8.024n = 3.7912 + -26.2584
8.024n = 3.7912 + -26.2584

Combine like terms: 3.7912 + -26.2584 = -22.4672
8.024n = -22.4672

Divide each side by '8.024'.
n = -2.8

Simplifying
n = -2.8

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