-8(r+7)=-(-5r-4)-3r

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Solution for -8(r+7)=-(-5r-4)-3r equation:


Simplifying
-8(r + 7) = -1(-5r + -4) + -3r

Reorder the terms:
-8(7 + r) = -1(-5r + -4) + -3r
(7 * -8 + r * -8) = -1(-5r + -4) + -3r
(-56 + -8r) = -1(-5r + -4) + -3r

Reorder the terms:
-56 + -8r = -1(-4 + -5r) + -3r
-56 + -8r = (-4 * -1 + -5r * -1) + -3r
-56 + -8r = (4 + 5r) + -3r

Combine like terms: 5r + -3r = 2r
-56 + -8r = 4 + 2r

Solving
-56 + -8r = 4 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-56 + -8r + -2r = 4 + 2r + -2r

Combine like terms: -8r + -2r = -10r
-56 + -10r = 4 + 2r + -2r

Combine like terms: 2r + -2r = 0
-56 + -10r = 4 + 0
-56 + -10r = 4

Add '56' to each side of the equation.
-56 + 56 + -10r = 4 + 56

Combine like terms: -56 + 56 = 0
0 + -10r = 4 + 56
-10r = 4 + 56

Combine like terms: 4 + 56 = 60
-10r = 60

Divide each side by '-10'.
r = -6

Simplifying
r = -6

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