114=-6(1-5r)

Solution for 114=-6(1-5r) equation:

Simplifying
114 = -6(1 + -5r)
114 = (1 * -6 + -5r * -6)
114 = (-6 + 30r)

Solving
114 = -6 + 30r

Solving for variable 'r'.

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

Add '-30r' to each side of the equation.
114 + -30r = -6 + 30r + -30r

Combine like terms: 30r + -30r = 0
114 + -30r = -6 + 0
114 + -30r = -6

Add '-114' to each side of the equation.
114 + -114 + -30r = -6 + -114

Combine like terms: 114 + -114 = 0
0 + -30r = -6 + -114
-30r = -6 + -114

Combine like terms: -6 + -114 = -120
-30r = -120

Divide each side by '-30'.
r = 4

Simplifying
r = 4