2(4-3r)=3(r+1)+14

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Solution for 2(4-3r)=3(r+1)+14 equation: 


Simplifying
2(4 + -3r) = 3(r + 1) + 14
(4 * 2 + -3r * 2) = 3(r + 1) + 14
(8 + -6r) = 3(r + 1) + 14

Reorder the terms:
8 + -6r = 3(1 + r) + 14
8 + -6r = (1 * 3 + r * 3) + 14
8 + -6r = (3 + 3r) + 14

Reorder the terms:
8 + -6r = 3 + 14 + 3r

Combine like terms: 3 + 14 = 17
8 + -6r = 17 + 3r

Solving
8 + -6r = 17 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
8 + -6r + -3r = 17 + 3r + -3r

Combine like terms: -6r + -3r = -9r
8 + -9r = 17 + 3r + -3r

Combine like terms: 3r + -3r = 0
8 + -9r = 17 + 0
8 + -9r = 17

Add '-8' to each side of the equation.
8 + -8 + -9r = 17 + -8

Combine like terms: 8 + -8 = 0
0 + -9r = 17 + -8
-9r = 17 + -8

Combine like terms: 17 + -8 = 9
-9r = 9

Divide each side by '-9'.
r = -1

Simplifying
r = -1

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