-59=-7(2r+5)+2(r+3(r-5))

Solution for -59=-7(2r+5)+2(r+3(r-5)) equation:

Simplifying
-59 = -7(2r + 5) + 2(r + 3(r + -5))

Reorder the terms:
-59 = -7(5 + 2r) + 2(r + 3(r + -5))
-59 = (5 * -7 + 2r * -7) + 2(r + 3(r + -5))
-59 = (-35 + -14r) + 2(r + 3(r + -5))

Reorder the terms:
-59 = -35 + -14r + 2(r + 3(-5 + r))
-59 = -35 + -14r + 2(r + (-5 * 3 + r * 3))
-59 = -35 + -14r + 2(r + (-15 + 3r))

Reorder the terms:
-59 = -35 + -14r + 2(-15 + r + 3r)

Combine like terms: r + 3r = 4r
-59 = -35 + -14r + 2(-15 + 4r)
-59 = -35 + -14r + (-15 * 2 + 4r * 2)
-59 = -35 + -14r + (-30 + 8r)

Reorder the terms:
-59 = -35 + -30 + -14r + 8r

Combine like terms: -35 + -30 = -65
-59 = -65 + -14r + 8r

Combine like terms: -14r + 8r = -6r
-59 = -65 + -6r

Solving
-59 = -65 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
-59 + 6r = -65 + -6r + 6r

Combine like terms: -6r + 6r = 0
-59 + 6r = -65 + 0
-59 + 6r = -65

Add '59' to each side of the equation.
-59 + 59 + 6r = -65 + 59

Combine like terms: -59 + 59 = 0
0 + 6r = -65 + 59
6r = -65 + 59

Combine like terms: -65 + 59 = -6
6r = -6

Divide each side by '6'.
r = -1

Simplifying
r = -1