4-(r+3)=3(2r-13)-2

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Solution for 4-(r+3)=3(2r-13)-2 equation: 


Simplifying
4 + -1(r + 3) = 3(2r + -13) + -2

Reorder the terms:
4 + -1(3 + r) = 3(2r + -13) + -2
4 + (3 * -1 + r * -1) = 3(2r + -13) + -2
4 + (-3 + -1r) = 3(2r + -13) + -2

Combine like terms: 4 + -3 = 1
1 + -1r = 3(2r + -13) + -2

Reorder the terms:
1 + -1r = 3(-13 + 2r) + -2
1 + -1r = (-13 * 3 + 2r * 3) + -2
1 + -1r = (-39 + 6r) + -2

Reorder the terms:
1 + -1r = -39 + -2 + 6r

Combine like terms: -39 + -2 = -41
1 + -1r = -41 + 6r

Solving
1 + -1r = -41 + 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.
1 + -1r + -6r = -41 + 6r + -6r

Combine like terms: -1r + -6r = -7r
1 + -7r = -41 + 6r + -6r

Combine like terms: 6r + -6r = 0
1 + -7r = -41 + 0
1 + -7r = -41

Add '-1' to each side of the equation.
1 + -1 + -7r = -41 + -1

Combine like terms: 1 + -1 = 0
0 + -7r = -41 + -1
-7r = -41 + -1

Combine like terms: -41 + -1 = -42
-7r = -42

Divide each side by '-7'.
r = 6

Simplifying
r = 6

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