-12=-6(4r-6)-8(4r-1)

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Solution for -12=-6(4r-6)-8(4r-1) equation:


Simplifying
-12 = -6(4r + -6) + -8(4r + -1)

Reorder the terms:
-12 = -6(-6 + 4r) + -8(4r + -1)
-12 = (-6 * -6 + 4r * -6) + -8(4r + -1)
-12 = (36 + -24r) + -8(4r + -1)

Reorder the terms:
-12 = 36 + -24r + -8(-1 + 4r)
-12 = 36 + -24r + (-1 * -8 + 4r * -8)
-12 = 36 + -24r + (8 + -32r)

Reorder the terms:
-12 = 36 + 8 + -24r + -32r

Combine like terms: 36 + 8 = 44
-12 = 44 + -24r + -32r

Combine like terms: -24r + -32r = -56r
-12 = 44 + -56r

Solving
-12 = 44 + -56r

Solving for variable 'r'.

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

Add '56r' to each side of the equation.
-12 + 56r = 44 + -56r + 56r

Combine like terms: -56r + 56r = 0
-12 + 56r = 44 + 0
-12 + 56r = 44

Add '12' to each side of the equation.
-12 + 12 + 56r = 44 + 12

Combine like terms: -12 + 12 = 0
0 + 56r = 44 + 12
56r = 44 + 12

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

Divide each side by '56'.
r = 1

Simplifying
r = 1

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