-151=5r-6(1-4r)

Solution for -151=5r-6(1-4r) equation:

Simplifying
-151 = 5r + -6(1 + -4r)
-151 = 5r + (1 * -6 + -4r * -6)
-151 = 5r + (-6 + 24r)

Reorder the terms:
-151 = -6 + 5r + 24r

Combine like terms: 5r + 24r = 29r
-151 = -6 + 29r

Solving
-151 = -6 + 29r

Solving for variable 'r'.

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

Add '-29r' to each side of the equation.
-151 + -29r = -6 + 29r + -29r

Combine like terms: 29r + -29r = 0
-151 + -29r = -6 + 0
-151 + -29r = -6

Add '151' to each side of the equation.
-151 + 151 + -29r = -6 + 151

Combine like terms: -151 + 151 = 0
0 + -29r = -6 + 151
-29r = -6 + 151

Combine like terms: -6 + 151 = 145
-29r = 145

Divide each side by '-29'.
r = -5

Simplifying
r = -5