3(-2+2x)-r+3x=2(7x+1)-5x-9

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Solution for 3(-2+2x)-r+3x=2(7x+1)-5x-9 equation:


Simplifying
3(-2 + 2x) + -1r + 3x = 2(7x + 1) + -5x + -9
(-2 * 3 + 2x * 3) + -1r + 3x = 2(7x + 1) + -5x + -9
(-6 + 6x) + -1r + 3x = 2(7x + 1) + -5x + -9

Reorder the terms:
-6 + -1r + 6x + 3x = 2(7x + 1) + -5x + -9

Combine like terms: 6x + 3x = 9x
-6 + -1r + 9x = 2(7x + 1) + -5x + -9

Reorder the terms:
-6 + -1r + 9x = 2(1 + 7x) + -5x + -9
-6 + -1r + 9x = (1 * 2 + 7x * 2) + -5x + -9
-6 + -1r + 9x = (2 + 14x) + -5x + -9

Reorder the terms:
-6 + -1r + 9x = 2 + -9 + 14x + -5x

Combine like terms: 2 + -9 = -7
-6 + -1r + 9x = -7 + 14x + -5x

Combine like terms: 14x + -5x = 9x
-6 + -1r + 9x = -7 + 9x

Add '-9x' to each side of the equation.
-6 + -1r + 9x + -9x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -1r + 0 = -7 + 9x + -9x
-6 + -1r = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -1r = -7 + 0
-6 + -1r = -7

Solving
-6 + -1r = -7

Solving for variable 'r'.

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

Add '6' to each side of the equation.
-6 + 6 + -1r = -7 + 6

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

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

Divide each side by '-1'.
r = 1

Simplifying
r = 1

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