167=6+7(3-7r)

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Solution for 167=6+7(3-7r) equation:


Simplifying
167 = 6 + 7(3 + -7r)
167 = 6 + (3 * 7 + -7r * 7)
167 = 6 + (21 + -49r)

Combine like terms: 6 + 21 = 27
167 = 27 + -49r

Solving
167 = 27 + -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 = 27 + -49r + 49r

Combine like terms: -49r + 49r = 0
167 + 49r = 27 + 0
167 + 49r = 27

Add '-167' to each side of the equation.
167 + -167 + 49r = 27 + -167

Combine like terms: 167 + -167 = 0
0 + 49r = 27 + -167
49r = 27 + -167

Combine like terms: 27 + -167 = -140
49r = -140

Divide each side by '49'.
r = -2.857142857

Simplifying
r = -2.857142857

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