167=6+7(2-7r)

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Solution for 167=6+7(2-7r) equation:


Simplifying
167 = 6 + 7(2 + -7r)
167 = 6 + (2 * 7 + -7r * 7)
167 = 6 + (14 + -49r)

Combine like terms: 6 + 14 = 20
167 = 20 + -49r

Solving
167 = 20 + -49r

Solving for variable 'r'.

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

Add '49r' to each side of the equation.
167 + 49r = 20 + -49r + 49r

Combine like terms: -49r + 49r = 0
167 + 49r = 20 + 0
167 + 49r = 20

Add '-167' to each side of the equation.
167 + -167 + 49r = 20 + -167

Combine like terms: 167 + -167 = 0
0 + 49r = 20 + -167
49r = 20 + -167

Combine like terms: 20 + -167 = -147
49r = -147

Divide each side by '49'.
r = -3

Simplifying
r = -3

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