-3(r-4)=56-7r

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Solution for -3(r-4)=56-7r equation:


Simplifying
-3(r + -4) = 56 + -7r

Reorder the terms:
-3(-4 + r) = 56 + -7r
(-4 * -3 + r * -3) = 56 + -7r
(12 + -3r) = 56 + -7r

Solving
12 + -3r = 56 + -7r

Solving for variable 'r'.

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

Add '7r' to each side of the equation.
12 + -3r + 7r = 56 + -7r + 7r

Combine like terms: -3r + 7r = 4r
12 + 4r = 56 + -7r + 7r

Combine like terms: -7r + 7r = 0
12 + 4r = 56 + 0
12 + 4r = 56

Add '-12' to each side of the equation.
12 + -12 + 4r = 56 + -12

Combine like terms: 12 + -12 = 0
0 + 4r = 56 + -12
4r = 56 + -12

Combine like terms: 56 + -12 = 44
4r = 44

Divide each side by '4'.
r = 11

Simplifying
r = 11

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