-7(r+5)-4(3r+10)=-12r-2r

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Solution for -7(r+5)-4(3r+10)=-12r-2r equation:


Simplifying
-7(r + 5) + -4(3r + 10) = -12r + -2r

Reorder the terms:
-7(5 + r) + -4(3r + 10) = -12r + -2r
(5 * -7 + r * -7) + -4(3r + 10) = -12r + -2r
(-35 + -7r) + -4(3r + 10) = -12r + -2r

Reorder the terms:
-35 + -7r + -4(10 + 3r) = -12r + -2r
-35 + -7r + (10 * -4 + 3r * -4) = -12r + -2r
-35 + -7r + (-40 + -12r) = -12r + -2r

Reorder the terms:
-35 + -40 + -7r + -12r = -12r + -2r

Combine like terms: -35 + -40 = -75
-75 + -7r + -12r = -12r + -2r

Combine like terms: -7r + -12r = -19r
-75 + -19r = -12r + -2r

Combine like terms: -12r + -2r = -14r
-75 + -19r = -14r

Solving
-75 + -19r = -14r

Solving for variable 'r'.

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

Add '14r' to each side of the equation.
-75 + -19r + 14r = -14r + 14r

Combine like terms: -19r + 14r = -5r
-75 + -5r = -14r + 14r

Combine like terms: -14r + 14r = 0
-75 + -5r = 0

Add '75' to each side of the equation.
-75 + 75 + -5r = 0 + 75

Combine like terms: -75 + 75 = 0
0 + -5r = 0 + 75
-5r = 0 + 75

Combine like terms: 0 + 75 = 75
-5r = 75

Divide each side by '-5'.
r = -15

Simplifying
r = -15

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