3(-3-5r)=-2(1-6r)+8

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Solution for 3(-3-5r)=-2(1-6r)+8 equation:


Simplifying
3(-3 + -5r) = -2(1 + -6r) + 8
(-3 * 3 + -5r * 3) = -2(1 + -6r) + 8
(-9 + -15r) = -2(1 + -6r) + 8
-9 + -15r = (1 * -2 + -6r * -2) + 8
-9 + -15r = (-2 + 12r) + 8

Reorder the terms:
-9 + -15r = -2 + 8 + 12r

Combine like terms: -2 + 8 = 6
-9 + -15r = 6 + 12r

Solving
-9 + -15r = 6 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
-9 + -15r + -12r = 6 + 12r + -12r

Combine like terms: -15r + -12r = -27r
-9 + -27r = 6 + 12r + -12r

Combine like terms: 12r + -12r = 0
-9 + -27r = 6 + 0
-9 + -27r = 6

Add '9' to each side of the equation.
-9 + 9 + -27r = 6 + 9

Combine like terms: -9 + 9 = 0
0 + -27r = 6 + 9
-27r = 6 + 9

Combine like terms: 6 + 9 = 15
-27r = 15

Divide each side by '-27'.
r = -0.5555555556

Simplifying
r = -0.5555555556

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