10=5r-14r-46

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Solution for 10=5r-14r-46 equation:


Simplifying
10 = 5r + -14r + -46

Reorder the terms:
10 = -46 + 5r + -14r

Combine like terms: 5r + -14r = -9r
10 = -46 + -9r

Solving
10 = -46 + -9r

Solving for variable 'r'.

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

Add '9r' to each side of the equation.
10 + 9r = -46 + -9r + 9r

Combine like terms: -9r + 9r = 0
10 + 9r = -46 + 0
10 + 9r = -46

Add '-10' to each side of the equation.
10 + -10 + 9r = -46 + -10

Combine like terms: 10 + -10 = 0
0 + 9r = -46 + -10
9r = -46 + -10

Combine like terms: -46 + -10 = -56
9r = -56

Divide each side by '9'.
r = -6.222222222

Simplifying
r = -6.222222222

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