-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 = -18
-2r = -18

Divide each side by '-2'.
r = 9

Simplifying
r = 9

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