7-7(r+4)=-14-8r

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Solution for 7-7(r+4)=-14-8r equation:


Simplifying
7 + -7(r + 4) = -14 + -8r

Reorder the terms:
7 + -7(4 + r) = -14 + -8r
7 + (4 * -7 + r * -7) = -14 + -8r
7 + (-28 + -7r) = -14 + -8r

Combine like terms: 7 + -28 = -21
-21 + -7r = -14 + -8r

Solving
-21 + -7r = -14 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
-21 + -7r + 8r = -14 + -8r + 8r

Combine like terms: -7r + 8r = 1r
-21 + 1r = -14 + -8r + 8r

Combine like terms: -8r + 8r = 0
-21 + 1r = -14 + 0
-21 + 1r = -14

Add '21' to each side of the equation.
-21 + 21 + 1r = -14 + 21

Combine like terms: -21 + 21 = 0
0 + 1r = -14 + 21
1r = -14 + 21

Combine like terms: -14 + 21 = 7
1r = 7

Divide each side by '1'.
r = 7

Simplifying
r = 7

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