10r-3(r+3)=4(3r-6)-10

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Solution for 10r-3(r+3)=4(3r-6)-10 equation:


Simplifying
10r + -3(r + 3) = 4(3r + -6) + -10

Reorder the terms:
10r + -3(3 + r) = 4(3r + -6) + -10
10r + (3 * -3 + r * -3) = 4(3r + -6) + -10
10r + (-9 + -3r) = 4(3r + -6) + -10

Reorder the terms:
-9 + 10r + -3r = 4(3r + -6) + -10

Combine like terms: 10r + -3r = 7r
-9 + 7r = 4(3r + -6) + -10

Reorder the terms:
-9 + 7r = 4(-6 + 3r) + -10
-9 + 7r = (-6 * 4 + 3r * 4) + -10
-9 + 7r = (-24 + 12r) + -10

Reorder the terms:
-9 + 7r = -24 + -10 + 12r

Combine like terms: -24 + -10 = -34
-9 + 7r = -34 + 12r

Solving
-9 + 7r = -34 + 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 + 7r + -12r = -34 + 12r + -12r

Combine like terms: 7r + -12r = -5r
-9 + -5r = -34 + 12r + -12r

Combine like terms: 12r + -12r = 0
-9 + -5r = -34 + 0
-9 + -5r = -34

Add '9' to each side of the equation.
-9 + 9 + -5r = -34 + 9

Combine like terms: -9 + 9 = 0
0 + -5r = -34 + 9
-5r = -34 + 9

Combine like terms: -34 + 9 = -25
-5r = -25

Divide each side by '-5'.
r = 5

Simplifying
r = 5

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