-(3r-9)=-6(r-10)-3

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Solution for -(3r-9)=-6(r-10)-3 equation: 


Simplifying
-1(3r + -9) = -6(r + -10) + -3

Reorder the terms:
-1(-9 + 3r) = -6(r + -10) + -3
(-9 * -1 + 3r * -1) = -6(r + -10) + -3
(9 + -3r) = -6(r + -10) + -3

Reorder the terms:
9 + -3r = -6(-10 + r) + -3
9 + -3r = (-10 * -6 + r * -6) + -3
9 + -3r = (60 + -6r) + -3

Reorder the terms:
9 + -3r = 60 + -3 + -6r

Combine like terms: 60 + -3 = 57
9 + -3r = 57 + -6r

Solving
9 + -3r = 57 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
9 + -3r + 6r = 57 + -6r + 6r

Combine like terms: -3r + 6r = 3r
9 + 3r = 57 + -6r + 6r

Combine like terms: -6r + 6r = 0
9 + 3r = 57 + 0
9 + 3r = 57

Add '-9' to each side of the equation.
9 + -9 + 3r = 57 + -9

Combine like terms: 9 + -9 = 0
0 + 3r = 57 + -9
3r = 57 + -9

Combine like terms: 57 + -9 = 48
3r = 48

Divide each side by '3'.
r = 16

Simplifying
r = 16

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