488=-30+3.5(n-1)

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Solution for 488=-30+3.5(n-1) equation:


Simplifying
488 = -30 + 3.5(n + -1)

Reorder the terms:
488 = -30 + 3.5(-1 + n)
488 = -30 + (-1 * 3.5 + n * 3.5)
488 = -30 + (-3.5 + 3.5n)

Combine like terms: -30 + -3.5 = -33.5
488 = -33.5 + 3.5n

Solving
488 = -33.5 + 3.5n

Solving for variable 'n'.

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

Add '-3.5n' to each side of the equation.
488 + -3.5n = -33.5 + 3.5n + -3.5n

Combine like terms: 3.5n + -3.5n = 0.0
488 + -3.5n = -33.5 + 0.0
488 + -3.5n = -33.5

Add '-488' to each side of the equation.
488 + -488 + -3.5n = -33.5 + -488

Combine like terms: 488 + -488 = 0
0 + -3.5n = -33.5 + -488
-3.5n = -33.5 + -488

Combine like terms: -33.5 + -488 = -521.5
-3.5n = -521.5

Divide each side by '-3.5'.
n = 149

Simplifying
n = 149

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