-7(r+6)+12(3-4r)=1+2r+5r-7

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Solution for -7(r+6)+12(3-4r)=1+2r+5r-7 equation:


Simplifying
-7(r + 6) + 12(3 + -4r) = 1 + 2r + 5r + -7

Reorder the terms:
-7(6 + r) + 12(3 + -4r) = 1 + 2r + 5r + -7
(6 * -7 + r * -7) + 12(3 + -4r) = 1 + 2r + 5r + -7
(-42 + -7r) + 12(3 + -4r) = 1 + 2r + 5r + -7
-42 + -7r + (3 * 12 + -4r * 12) = 1 + 2r + 5r + -7
-42 + -7r + (36 + -48r) = 1 + 2r + 5r + -7

Reorder the terms:
-42 + 36 + -7r + -48r = 1 + 2r + 5r + -7

Combine like terms: -42 + 36 = -6
-6 + -7r + -48r = 1 + 2r + 5r + -7

Combine like terms: -7r + -48r = -55r
-6 + -55r = 1 + 2r + 5r + -7

Reorder the terms:
-6 + -55r = 1 + -7 + 2r + 5r

Combine like terms: 1 + -7 = -6
-6 + -55r = -6 + 2r + 5r

Combine like terms: 2r + 5r = 7r
-6 + -55r = -6 + 7r

Add '6' to each side of the equation.
-6 + 6 + -55r = -6 + 6 + 7r

Combine like terms: -6 + 6 = 0
0 + -55r = -6 + 6 + 7r
-55r = -6 + 6 + 7r

Combine like terms: -6 + 6 = 0
-55r = 0 + 7r
-55r = 7r

Solving
-55r = 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.
-55r + -7r = 7r + -7r

Combine like terms: -55r + -7r = -62r
-62r = 7r + -7r

Combine like terms: 7r + -7r = 0
-62r = 0

Divide each side by '-62'.
r = 0

Simplifying
r = 0

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