-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 = -22r
-48 + -22r = -30 + 10r + -10r

Combine like terms: 10r + -10r = 0
-48 + -22r = -30 + 0
-48 + -22r = -30

Add '48' to each side of the equation.
-48 + 48 + -22r = -30 + 48

Combine like terms: -48 + 48 = 0
0 + -22r = -30 + 48
-22r = -30 + 48

Combine like terms: -30 + 48 = 18
-22r = 18

Divide each side by '-22'.
r = -0.8181818182

Simplifying
r = -0.8181818182

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