-6(2r+8)=-10(r-3)

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Solution for -6(2r+8)=-10(r-3) equation:


Simplifying
-6(2r + 8) = -10(r + -3)

Reorder the terms:
-6(8 + 2r) = -10(r + -3)
(8 * -6 + 2r * -6) = -10(r + -3)
(-48 + -12r) = -10(r + -3)

Reorder the terms:
-48 + -12r = -10(-3 + r)
-48 + -12r = (-3 * -10 + r * -10)
-48 + -12r = (30 + -10r)

Solving
-48 + -12r = 30 + -10r

Solving for variable 'r'.

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

Add '10r' to each side of the equation.
-48 + -12r + 10r = 30 + -10r + 10r

Combine like terms: -12r + 10r = -2r
-48 + -2r = 30 + -10r + 10r

Combine like terms: -10r + 10r = 0
-48 + -2r = 30 + 0
-48 + -2r = 30

Add '48' to each side of the equation.
-48 + 48 + -2r = 30 + 48

Combine like terms: -48 + 48 = 0
0 + -2r = 30 + 48
-2r = 30 + 48

Combine like terms: 30 + 48 = 78
-2r = 78

Divide each side by '-2'.
r = -39

Simplifying
r = -39

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