-7(r+1)=-3(2r-5)-8

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Solution for -7(r+1)=-3(2r-5)-8 equation: 


Simplifying
-7(r + 1) = -3(2r + -5) + -8

Reorder the terms:
-7(1 + r) = -3(2r + -5) + -8
(1 * -7 + r * -7) = -3(2r + -5) + -8
(-7 + -7r) = -3(2r + -5) + -8

Reorder the terms:
-7 + -7r = -3(-5 + 2r) + -8
-7 + -7r = (-5 * -3 + 2r * -3) + -8
-7 + -7r = (15 + -6r) + -8

Reorder the terms:
-7 + -7r = 15 + -8 + -6r

Combine like terms: 15 + -8 = 7
-7 + -7r = 7 + -6r

Solving
-7 + -7r = 7 + -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.
-7 + -7r + 6r = 7 + -6r + 6r

Combine like terms: -7r + 6r = -1r
-7 + -1r = 7 + -6r + 6r

Combine like terms: -6r + 6r = 0
-7 + -1r = 7 + 0
-7 + -1r = 7

Add '7' to each side of the equation.
-7 + 7 + -1r = 7 + 7

Combine like terms: -7 + 7 = 0
0 + -1r = 7 + 7
-1r = 7 + 7

Combine like terms: 7 + 7 = 14
-1r = 14

Divide each side by '-1'.
r = -14

Simplifying
r = -14

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