91=-7(1+7r)

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Solution for 91=-7(1+7r) equation:


Simplifying
91 = -7(1 + 7r)
91 = (1 * -7 + 7r * -7)
91 = (-7 + -49r)

Solving
91 = -7 + -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.
91 + 49r = -7 + -49r + 49r

Combine like terms: -49r + 49r = 0
91 + 49r = -7 + 0
91 + 49r = -7

Add '-91' to each side of the equation.
91 + -91 + 49r = -7 + -91

Combine like terms: 91 + -91 = 0
0 + 49r = -7 + -91
49r = -7 + -91

Combine like terms: -7 + -91 = -98
49r = -98

Divide each side by '49'.
r = -2

Simplifying
r = -2

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